12032993025 has 81 divisors (see below), whose sum is σ = 22074554307. Its totient is φ = 6265778400.

The previous prime is 12032993017. The next prime is 12032993059. The reversal of 12032993025 is 52039923021.

The square root of 12032993025 is 109695.

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

12032993025 is a `hidden beast` number, since 1 + 20 + 329 + 9 + 302 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4331877489 + 7701115536 = 65817^2 + 87756^2 .

It is not a de Polignac number, because 12032993025 - 2³ = 12032993017 is a prime.

It is a super-2 number, since 2×12032993025² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 116825124 + ... + 116825226.

Almost surely, 2^12032993025 is an apocalyptic number.

12032993025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12032993025 is the 109695-th square number.

12032993025 is the 54848-th centered octagonal number.

It is an amenable number.

12032993025 is a deficient number, since it is larger than the sum of its proper divisors (10041561282).

12032993025 is an equidigital number, since it uses as much as digits as its factorization.

12032993025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 12032993025 by its sum of digits (36), we get a square (433187748900 = 658170²).

The spelling of 12032993025 in words is "twelve billion, thirty-two million, nine hundred ninety-three thousand, twenty-five".