12600511504 has 135 divisors (see below), whose sum is σ = 30115463391. Its totient is φ = 5091750720.

The previous prime is 12600511481. The next prime is 12600511559. The reversal of 12600511504 is 40511500621.

It is a happy number.

The square root of 12600511504 is 112252.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59717959 + ... + 59718169.

Almost surely, 2^12600511504 is an apocalyptic number.

12600511504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12600511504 is the 112252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12600511504

12600511504 is an abundant number, since it is smaller than the sum of its proper divisors (17514951887).

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

12600511504 is an equidigital number, since it uses as much as digits as its factorization.

12600511504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Multiplying 12600511504 by its sum of digits (25), we get a square (315012787600 = 561260²).

The spelling of 12600511504 in words is "twelve billion, six hundred million, five hundred eleven thousand, five hundred four".