12888800 has 36 divisors (see below), whose sum is σ = 31466736. Its totient is φ = 5155200.

The previous prime is 12888797. The next prime is 12888803. The reversal of 12888800 is 888821.

It is an interprime number because it is at equal distance from previous prime (12888797) and next prime (12888803).

It is a super-2 number, since 2×12888800² = 332242330880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12888803) 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, 7256 + ... + 8855.

It is an arithmetic number, because the mean of its divisors is an integer number (874076).

Almost surely, 2^12888800 is an apocalyptic number.

12888800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12888800 is an abundant number, since it is smaller than the sum of its proper divisors (18577936).

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

12888800 is a wasteful number, since it uses less digits than its factorization.

12888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16131 (or 16118 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 12888800 is about 3590.0974917124. The cubic root of 12888800 is about 234.4611162064.

The spelling of 12888800 in words is "twelve million, eight hundred eighty-eight thousand, eight hundred".