12656720 has 20 divisors (see below), whose sum is σ = 29427060. Its totient is φ = 5062656.

The previous prime is 12656713. The next prime is 12656737. The reversal of 12656720 is 2765621.

It can be written as a sum of positive squares in 2 ways, for example, as 2972176 + 9684544 = 1724^2 + 3112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×12656720³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79025 + ... + 79184.

It is an arithmetic number, because the mean of its divisors is an integer number (1471353).

Almost surely, 2^12656720 is an apocalyptic number.

12656720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12656720 is an abundant number, since it is smaller than the sum of its proper divisors (16770340).

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

12656720 is a wasteful number, since it uses less digits than its factorization.

12656720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158222 (or 158216 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 12656720 is about 3557.6284235429. The cubic root of 12656720 is about 233.0453226501.

The spelling of 12656720 in words is "twelve million, six hundred fifty-six thousand, seven hundred twenty".