12297134361600 has 3564 divisors, whose sum is σ = 54910362996216. Its totient is φ = 2715254784000.

The previous prime is 12297134361587. The next prime is 12297134361619. The reversal of 12297134361600 is 616343179221.

12297134361600 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 7 + 1 + 3 + 4 + 36 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3564).

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 323 ways as a sum of consecutive naturals, for example, 396681753585 + ... + 396681753615.

Almost surely, 2^{12297134361600} is an apocalyptic number.

12297134361600 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 12297134361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27455181498108).

12297134361600 is an abundant number, since it is smaller than the sum of its proper divisors (42613228634616).

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

12297134361600 is a wasteful number, since it uses less digits than its factorization.

12297134361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12297134361600 in words is "twelve trillion, two hundred ninety-seven billion, one hundred thirty-four million, three hundred sixty-one thousand, six hundred".