12130196864400 has 180 divisors, whose sum is σ = 42098422723812. Its totient is φ = 3234467880960.

The previous prime is 12130196864369. The next prime is 12130196864411. The reversal of 12130196864400 is 446869103121.

12130196864400 is a `hidden beast` number, since 1 + 2 + 13 + 0 + 196 + 8 + 6 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23471465616 + 12106725398784 = 153204^2 + 3479472^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48753112 + ... + 49001288.

Almost surely, 2^{12130196864400} is an apocalyptic number.

12130196864400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130196864400 is an abundant number, since it is smaller than the sum of its proper divisors (29968225859412).

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

12130196864400 is a wasteful number, since it uses less digits than its factorization.

12130196864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261778 (or 261764 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12130196864400 in words is "twelve trillion, one hundred thirty billion, one hundred ninety-six million, eight hundred sixty-four thousand, four hundred".