12512800 has 36 divisors (see below), whose sum is σ = 30548826. Its totient is φ = 5004800.

The previous prime is 12512783. The next prime is 12512807. The reversal of 12512800 is 821521.

It can be written as a sum of positive squares in 3 ways, for example, as 12138256 + 374544 = 3484^2 + 612^2 .

It is not an unprimeable number, because it can be changed into a prime (12512807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7021 + ... + 8620.

Almost surely, 2^12512800 is an apocalyptic number.

12512800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12512800 is an abundant number, since it is smaller than the sum of its proper divisors (18036026).

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

12512800 is a wasteful number, since it uses less digits than its factorization.

12512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15661 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 12512800 is about 3537.3436361202. The cubic root of 12512800 is about 232.1586311062.

The spelling of 12512800 in words is "twelve million, five hundred twelve thousand, eight hundred".