12534800 has 30 divisors (see below), whose sum is σ = 30115818. Its totient is φ = 5013760.

The previous prime is 12534779. The next prime is 12534803. The reversal of 12534800 is 843521.

It can be written as a sum of positive squares in 3 ways, for example, as 3268864 + 9265936 = 1808^2 + 3044^2 .

It is a super-2 number, since 2×12534800² = 314242422080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12534803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15269 + ... + 16068.

Almost surely, 2^12534800 is an apocalyptic number.

12534800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12534800 is an abundant number, since it is smaller than the sum of its proper divisors (17581018).

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

12534800 is a wasteful number, since it uses less digits than its factorization.

12534800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31355 (or 31344 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12534800 is about 3540.4519485512. The cubic root of 12534800 is about 232.2946118480.

The spelling of 12534800 in words is "twelve million, five hundred thirty-four thousand, eight hundred".