12372335361 has 45 divisors (see below), whose sum is σ = 19660309779. Its totient is φ = 7752355776.

The previous prime is 12372335359. The next prime is 12372335369. The reversal of 12372335361 is 16353327321.

The square root of 12372335361 is 111231.

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

12372335361 is a `hidden beast` number, since 1 + 23 + 72 + 33 + 536 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9632441025 + 2739894336 = 98145^2 + 52344^2 .

It is not a de Polignac number, because 12372335361 - 2¹ = 12372335359 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12372335369) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17017980 + ... + 17018706.

Almost surely, 2^12372335361 is an apocalyptic number.

12372335361 is the 111231-st square number.

12372335361 is the 55616-th centered octagonal number.

It is an amenable number.

12372335361 is a deficient number, since it is larger than the sum of its proper divisors (7287974418).

12372335361 is an frugal number, since it uses more digits than its factorization.

12372335361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 747 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

Multiplying 12372335361 by its sum of digits (36), we get a square (445404072996 = 667386²).

The spelling of 12372335361 in words is "twelve billion, three hundred seventy-two million, three hundred thirty-five thousand, three hundred sixty-one".