12512659600 has 405 divisors, whose sum is σ = 37954928523. Its totient is φ = 3951790080.

The previous prime is 12512659573. The next prime is 12512659603. The reversal of 12512659600 is 695621521.

The square root of 12512659600 is 111860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 292683664 + 12219975936 = 17108^2 + 110544^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12512659600.

It is not an unprimeable number, because it can be changed into a prime (12512659603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 266226777 + ... + 266226823.

Almost surely, 2^12512659600 is an apocalyptic number.

12512659600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12512659600 is the 111860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12512659600

12512659600 is an abundant number, since it is smaller than the sum of its proper divisors (25442268923).

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

12512659600 is a wasteful number, since it uses less digits than its factorization.

12512659600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

Multiplying 12512659600 by its product of nonzero digits (32400), we get a square (405410171040000 = 20134800²).

The spelling of 12512659600 in words is "twelve billion, five hundred twelve million, six hundred fifty-nine thousand, six hundred".