12920414224 has 45 divisors (see below), whose sum is σ = 25333727031. Its totient is φ = 6383594880.

The previous prime is 12920414179. The next prime is 12920414231. The reversal of 12920414224 is 42241402921.

The square root of 12920414224 is 113668.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7846416400 + 5073997824 = 88580^2 + 71232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71383414 + ... + 71383594.

Almost surely, 2^12920414224 is an apocalyptic number.

12920414224 is the 113668-th square number.

It is an amenable number.

12920414224 is a deficient number, since it is larger than the sum of its proper divisors (12413312807).

12920414224 is an frugal number, since it uses more digits than its factorization.

12920414224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Multiplying 12920414224 by its product of nonzero digits (9216), we get a square (119074537488384 = 10912128²).

The spelling of 12920414224 in words is "twelve billion, nine hundred twenty million, four hundred fourteen thousand, two hundred twenty-four".