12119317400961 has 15 divisors (see below), whose sum is σ = 18104212304211. Its totient is φ = 8079524046288.

The previous prime is 12119317400947. The next prime is 12119317400969. The reversal of 12119317400961 is 16900471391121.

The square root of 12119317400961 is 3481281.

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

12119317400961 is a `hidden beast` number, since 12 + 119 + 31 + 7 + 400 + 96 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 279662226561 + 11839655174400 = 528831^2 + 3440880^2 .

It is not a de Polignac number, because 12119317400961 - 2⁴¹ = 9920294145409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12119317400969) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 31138125 + ... + 31524933.

Almost surely, 2^{12119317400961} is an apocalyptic number.

12119317400961 is the 3481281-st square number.

12119317400961 is the 1740641-st centered octagonal number.

It is an amenable number.

12119317400961 is a deficient number, since it is larger than the sum of its proper divisors (5984894903250).

12119317400961 is an frugal number, since it uses more digits than its factorization.

12119317400961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773630 (or 386812 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 12119317400961 in words is "twelve trillion, one hundred nineteen billion, three hundred seventeen million, four hundred thousand, nine hundred sixty-one".