12130797974400 has 864 divisors, whose sum is σ = 51523727884200. Its totient is φ = 2708257628160.

The previous prime is 12130797974387. The next prime is 12130797974413. The reversal of 12130797974400 is 447979703121.

It is a happy number.

12130797974400 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 79 + 79 + 74 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (12130797974387) and next prime (12130797974413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60581646 + ... + 60781554.

Almost surely, 2^{12130797974400} is an apocalyptic number.

12130797974400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130797974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25761863942100).

12130797974400 is an abundant number, since it is smaller than the sum of its proper divisors (39392929909800).

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

12130797974400 is a wasteful number, since it uses less digits than its factorization.

12130797974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199996 (or 199969 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 12130797974400 in words is "twelve trillion, one hundred thirty billion, seven hundred ninety-seven million, nine hundred seventy-four thousand, four hundred".