12516800 has 42 divisors (see below), whose sum is σ = 30803088. Its totient is φ = 5006080.

The previous prime is 12516793. The next prime is 12516809. The reversal of 12516800 is 861521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12516809) 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, 2312 + ... + 5511.

Almost surely, 2^12516800 is an apocalyptic number.

12516800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12516800 is an abundant number, since it is smaller than the sum of its proper divisors (18286288).

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

12516800 is an equidigital number, since it uses as much as digits as its factorization.

12516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 12516800 is about 3537.9089869583. The cubic root of 12516800 is about 232.1833667260.

The spelling of 12516800 in words is "twelve million, five hundred sixteen thousand, eight hundred".