12268656 has 30 divisors (see below), whose sum is σ = 34335600. Its totient is φ = 4089504.

The previous prime is 12268649. The next prime is 12268667. The reversal of 12268656 is 65686221.

12268656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12268656³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12268656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42456 + ... + 42743.

It is an arithmetic number, because the mean of its divisors is an integer number (1144520).

Almost surely, 2^12268656 is an apocalyptic number.

12268656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12268656 is an abundant number, since it is smaller than the sum of its proper divisors (22066944).

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

12268656 is a wasteful number, since it uses less digits than its factorization.

12268656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85213 (or 85204 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12268656 is about 3502.6641289167. The cubic root of 12268656 is about 230.6387787833.

The spelling of 12268656 in words is "twelve million, two hundred sixty-eight thousand, six hundred fifty-six".