12981184225 has 9 divisors (see below), whose sum is σ = 16097374867. Its totient is φ = 10384491640.

The previous prime is 12981184217. The next prime is 12981184261. The reversal of 12981184225 is 52248118921.

The square root of 12981184225 is 113935.

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

12981184225 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., 4673226321 + 8307957904 = 68361^2 + 91148^2 .

It is not a de Polignac number, because 12981184225 - 2³ = 12981184217 is a prime.

It is a super-2 number, since 2×12981184225² (a number of 21 digits) contains 22 as substring.

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, 558282 + ... + 581068.

Almost surely, 2^12981184225 is an apocalyptic number.

12981184225 is the 113935-th square number.

12981184225 is the 56968-th centered octagonal number.

It is an amenable number.

12981184225 is a deficient number, since it is larger than the sum of its proper divisors (3116190642).

12981184225 is an frugal number, since it uses more digits than its factorization.

12981184225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45584 (or 22792 counting only the distinct ones).

The product of its digits is 92160, while the sum is 43.

The spelling of 12981184225 in words is "twelve billion, nine hundred eighty-one million, one hundred eighty-four thousand, two hundred twenty-five".