12564200 has 48 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 4568000.

The previous prime is 12564193. The next prime is 12564247. The reversal of 12564200 is 246521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^12564200 is an apocalyptic number.

12564200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12564200 is an abundant number, since it is smaller than the sum of its proper divisors (19308760).

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

12564200 is a wasteful number, since it uses less digits than its factorization.

12564200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12564200 is about 3544.6015290862. The cubic root of 12564200 is about 232.4760834072.

The spelling of 12564200 in words is "twelve million, five hundred sixty-four thousand, two hundred".