120013297261200 has 600 divisors, whose sum is σ = 492602409622400. Its totient is φ = 27411930316800.

The previous prime is 120013297261177. The next prime is 120013297261261. The reversal of 120013297261200 is 2162792310021.

120013297261200 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 32 + 9 + 7 + 2 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 317104080 + ... + 317482320.

Almost surely, 2^{120013297261200} is an apocalyptic number.

120013297261200 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 120013297261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246301204811200).

120013297261200 is an abundant number, since it is smaller than the sum of its proper divisors (372589112361200).

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

120013297261200 is a wasteful number, since it uses less digits than its factorization.

120013297261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379677 (or 379657 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 120013297261200 in words is "one hundred twenty trillion, thirteen billion, two hundred ninety-seven million, two hundred sixty-one thousand, two hundred".