12461125665365 has 64 divisors (see below), whose sum is σ = 16831353921984. Its totient is φ = 8796353200128.

The previous prime is 12461125665353. The next prime is 12461125665449. The reversal of 12461125665365 is 56356652116421.

It can be written as a sum of positive squares in 32 ways, for example, as 6098104280356 + 6363021385009 = 2469434^2 + 2522503^2 .

It is not a de Polignac number, because 12461125665365 - 2²⁶ = 12461058556501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31765097 + ... + 32154993.

It is an arithmetic number, because the mean of its divisors is an integer number (262989905031).

Almost surely, 2^{12461125665365} is an apocalyptic number.

It is an amenable number.

12461125665365 is a deficient number, since it is larger than the sum of its proper divisors (4370228256619).

12461125665365 is a wasteful number, since it uses less digits than its factorization.

12461125665365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390186.

The product of its digits is 7776000, while the sum is 53.

The spelling of 12461125665365 in words is "twelve trillion, four hundred sixty-one billion, one hundred twenty-five million, six hundred sixty-five thousand, three hundred sixty-five".