12279964225 has 27 divisors (see below), whose sum is σ = 15675993417. Its totient is φ = 9542501280.

The previous prime is 12279964223. The next prime is 12279964259. The reversal of 12279964225 is 52246997221.

The square root of 12279964225 is 110815.

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

12279964225 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 4 ways, for example, as 1165744449 + 11114219776 = 34143^2 + 105424^2 .

It is not a de Polignac number, because 12279964225 - 2¹ = 12279964223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12279964223) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 20500476 + ... + 20501074.

Almost surely, 2^12279964225 is an apocalyptic number.

12279964225 is the 110815-th square number.

12279964225 is the 55408-th centered octagonal number.

It is an amenable number.

12279964225 is a deficient number, since it is larger than the sum of its proper divisors (3396029192).

12279964225 is an frugal number, since it uses more digits than its factorization.

12279964225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 641 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

Multiplying 12279964225 by its sum of digits (49), we get a square (601718247025 = 775705²).

The spelling of 12279964225 in words is "twelve billion, two hundred seventy-nine million, nine hundred sixty-four thousand, two hundred twenty-five".