12507290896 has 45 divisors (see below), whose sum is σ = 24633697989. Its totient is φ = 6151874688.

The previous prime is 12507290869. The next prime is 12507290909. The reversal of 12507290896 is 69809270521.

The square root of 12507290896 is 111836.

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

12507290896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7099747600 + 5407543296 = 84260^2 + 73536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32655921 + ... + 32656303.

Almost surely, 2^12507290896 is an apocalyptic number.

12507290896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12507290896 is the 111836-th square number.

It is an amenable number.

12507290896 is a deficient number, since it is larger than the sum of its proper divisors (12126407093).

12507290896 is an frugal number, since it uses more digits than its factorization.

12507290896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 12507290896 by its sum of digits (49), we get a square (612857253904 = 782852²).

The spelling of 12507290896 in words is "twelve billion, five hundred seven million, two hundred ninety thousand, eight hundred ninety-six".