12561568000 has 72 divisors (see below), whose sum is σ = 31292515800. Its totient is φ = 5024614400.

The previous prime is 12561567979. The next prime is 12561568007. The reversal of 12561568000 is 86516521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31899904 + 12529668096 = 5648^2 + 111936^2 .

It is not an unprimeable number, because it can be changed into a prime (12561568007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164275 + ... + 228274.

It is an arithmetic number, because the mean of its divisors is an integer number (434618275).

Almost surely, 2^12561568000 is an apocalyptic number.

12561568000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12561568000 is an abundant number, since it is smaller than the sum of its proper divisors (18730947800).

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

12561568000 is an frugal number, since it uses more digits than its factorization.

12561568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392580 (or 392556 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 12561568000 in words is "twelve billion, five hundred sixty-one million, five hundred sixty-eight thousand".