12656 has 20 divisors (see below), whose sum is σ = 28272. Its totient is φ = 5376.

The previous prime is 12653. The next prime is 12659. The reversal of 12656 is 65621.

It is an interprime number because it is at equal distance from previous prime (12653) and next prime (12659).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

12656 is an undulating number in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12656.

It is not an unprimeable number, because it can be changed into a prime (12653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 168.

2¹²⁶⁵⁶ is an apocalyptic number.

12656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 112×113.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136).

12656 is an abundant number, since it is smaller than the sum of its proper divisors (15616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12656 is a wasteful number, since it uses less digits than its factorization.

12656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 12656 is about 112.4988888834. The cubic root of 12656 is about 23.3040903501.

It can be divided in two parts, 126 and 56, that multiplied together give a square (7056 = 84²).

The spelling of 12656 in words is "twelve thousand, six hundred fifty-six".