12130947668401 has 9 divisors (see below), whose sum is σ = 12220621752171. Its totient is φ = 12041926923792.

The previous prime is 12130947668353. The next prime is 12130947668407. The reversal of 12130947668401 is 10486674903121.

The square root of 12130947668401 is 3482951.

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

It can be written as a sum of positive squares in only one way, i.e., 7125776442225 + 5005171226176 = 2669415^2 + 2237224^2 .

It is not a de Polignac number, because 12130947668401 - 2²⁷ = 12130813450673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12130947668407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 477151576 + ... + 477176998.

Almost surely, 2^{12130947668401} is an apocalyptic number.

12130947668401 is the 3482951-st square number.

12130947668401 is the 1741476-th centered octagonal number.

It is an amenable number.

12130947668401 is a deficient number, since it is larger than the sum of its proper divisors (89674083770).

12130947668401 is an frugal number, since it uses more digits than its factorization.

12130947668401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51120 (or 25560 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 12130947668401 in words is "twelve trillion, one hundred thirty billion, nine hundred forty-seven million, six hundred sixty-eight thousand, four hundred one".