12157565032900 has 81 divisors (see below), whose sum is σ = 30689783857677. Its totient is φ = 4168224328800.

The previous prime is 12157565032829. The next prime is 12157565032957. The reversal of 12157565032900 is 923056575121.

The square root of 12157565032900 is 3486770.

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

It can be written as a sum of positive squares in only one way, i.e., 4376723411844 + 7780841621056 = 2092062^2 + 2789416^2 .

It is a super-3 number, since 3×12157565032900³ (a number of 40 digits) contains 333 as substring.

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, 244048995 + ... + 244098805.

Almost surely, 2^{12157565032900} is an apocalyptic number.

12157565032900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12157565032900 is the 3486770-th square number.

It is an amenable number.

12157565032900 is an abundant number, since it is smaller than the sum of its proper divisors (18532218824777).

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

12157565032900 is an frugal number, since it uses more digits than its factorization.

12157565032900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99650 (or 49825 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 46.

The spelling of 12157565032900 in words is "twelve trillion, one hundred fifty-seven billion, five hundred sixty-five million, thirty-two thousand, nine hundred".