12977215632225 has 72 divisors (see below), whose sum is σ = 26504054616312. Its totient is φ = 6012972288000.

The previous prime is 12977215632209. The next prime is 12977215632343. The reversal of 12977215632225 is 52223651277921.

12977215632225 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 72 + 1 + 563 + 2 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6352033064976 + 6625182567249 = 2520324^2 + 2573943^2 .

It is not a de Polignac number, because 12977215632225 - 2⁴ = 12977215632209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130440126 + ... + 130539575.

It is an arithmetic number, because the mean of its divisors is an integer number (368111869671).

Almost surely, 2^{12977215632225} is an apocalyptic number.

12977215632225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12977215632225 is an abundant number, since it is smaller than the sum of its proper divisors (13526838984087).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12977215632225 is a wasteful number, since it uses less digits than its factorization.

12977215632225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260979747 (or 260979739 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 12977215632225 in words is "twelve trillion, nine hundred seventy-seven billion, two hundred fifteen million, six hundred thirty-two thousand, two hundred twenty-five".