120868232659200 has 2160 divisors, whose sum is σ = 504431385575040. Its totient is φ = 28449738915840.

The previous prime is 120868232659171. The next prime is 120868232659211. The reversal of 120868232659200 is 2956232868021.

120868232659200 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 6 + 8 + 23 + 26 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37665387196 + ... + 37665390404.

Almost surely, 2^{120868232659200} is an apocalyptic number.

120868232659200 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 120868232659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252215692787520).

120868232659200 is an abundant number, since it is smaller than the sum of its proper divisors (383563152915840).

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

120868232659200 is an frugal number, since it uses more digits than its factorization.

120868232659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 120868232659200 in words is "one hundred twenty trillion, eight hundred sixty-eight billion, two hundred thirty-two million, six hundred fifty-nine thousand, two hundred".