diff --git a/DIRECTORY.md b/DIRECTORY.md
index e70c0aab64a7..98cb24fd4c58 100644
--- a/DIRECTORY.md
+++ b/DIRECTORY.md
@@ -39,6 +39,7 @@
   * [Binary Xor Operator](https://github.com/TheAlgorithms/Python/blob/master/bit_manipulation/binary_xor_operator.py)
   * [Count 1S Brian Kernighan Method](https://github.com/TheAlgorithms/Python/blob/master/bit_manipulation/count_1s_brian_kernighan_method.py)
   * [Count Number Of One Bits](https://github.com/TheAlgorithms/Python/blob/master/bit_manipulation/count_number_of_one_bits.py)
+  * [Gray Code Sequence](https://github.com/TheAlgorithms/Python/blob/master/bit_manipulation/gray_code_sequence.py)
   * [Reverse Bits](https://github.com/TheAlgorithms/Python/blob/master/bit_manipulation/reverse_bits.py)
   * [Single Bit Manipulation Operations](https://github.com/TheAlgorithms/Python/blob/master/bit_manipulation/single_bit_manipulation_operations.py)
 
@@ -63,7 +64,7 @@
   * [Baconian Cipher](https://github.com/TheAlgorithms/Python/blob/master/ciphers/baconian_cipher.py)
   * [Base16](https://github.com/TheAlgorithms/Python/blob/master/ciphers/base16.py)
   * [Base32](https://github.com/TheAlgorithms/Python/blob/master/ciphers/base32.py)
-  * [Base64 Encoding](https://github.com/TheAlgorithms/Python/blob/master/ciphers/base64_encoding.py)
+  * [Base64](https://github.com/TheAlgorithms/Python/blob/master/ciphers/base64.py)
   * [Base85](https://github.com/TheAlgorithms/Python/blob/master/ciphers/base85.py)
   * [Beaufort Cipher](https://github.com/TheAlgorithms/Python/blob/master/ciphers/beaufort_cipher.py)
   * [Bifid](https://github.com/TheAlgorithms/Python/blob/master/ciphers/bifid.py)
@@ -219,6 +220,7 @@
   * Filters
     * [Bilateral Filter](https://github.com/TheAlgorithms/Python/blob/master/digital_image_processing/filters/bilateral_filter.py)
     * [Convolve](https://github.com/TheAlgorithms/Python/blob/master/digital_image_processing/filters/convolve.py)
+    * [Gabor Filter](https://github.com/TheAlgorithms/Python/blob/master/digital_image_processing/filters/gabor_filter.py)
     * [Gaussian Filter](https://github.com/TheAlgorithms/Python/blob/master/digital_image_processing/filters/gaussian_filter.py)
     * [Median Filter](https://github.com/TheAlgorithms/Python/blob/master/digital_image_processing/filters/median_filter.py)
     * [Sobel Filter](https://github.com/TheAlgorithms/Python/blob/master/digital_image_processing/filters/sobel_filter.py)
@@ -511,6 +513,7 @@
   * [Modular Exponential](https://github.com/TheAlgorithms/Python/blob/master/maths/modular_exponential.py)
   * [Monte Carlo](https://github.com/TheAlgorithms/Python/blob/master/maths/monte_carlo.py)
   * [Monte Carlo Dice](https://github.com/TheAlgorithms/Python/blob/master/maths/monte_carlo_dice.py)
+  * [Nevilles Method](https://github.com/TheAlgorithms/Python/blob/master/maths/nevilles_method.py)
   * [Newton Raphson](https://github.com/TheAlgorithms/Python/blob/master/maths/newton_raphson.py)
   * [Number Of Digits](https://github.com/TheAlgorithms/Python/blob/master/maths/number_of_digits.py)
   * [Numerical Integration](https://github.com/TheAlgorithms/Python/blob/master/maths/numerical_integration.py)
diff --git a/project_euler/problem_012/sol2.py b/project_euler/problem_012/sol2.py
index 1cc79fc4cd75..380a9b74bb97 100644
--- a/project_euler/problem_012/sol2.py
+++ b/project_euler/problem_012/sol2.py
@@ -29,7 +29,18 @@ def triangle_number_generator():
 
 
 def count_divisors(n):
-    return sum(2 for i in range(1, int(n ** 0.5) + 1) if n % i == 0 and i * i != n)
+    divisors_count = 1
+    i = 2
+    while i * i <= n:
+        multiplicity = 0
+        while n % i == 0:
+            n //= i
+            multiplicity += 1
+        divisors_count *= multiplicity + 1
+        i += 1
+    if n > 1:
+        divisors_count *= 2
+    return divisors_count
 
 
 def solution():