120997951200 has 576 divisors, whose sum is σ = 501762885120. Its totient is φ = 27566161920.

The previous prime is 120997951157. The next prime is 120997951211. The reversal of 120997951200 is 2159799021.

120997951200 is a `hidden beast` number, since 120 + 9 + 9 + 7 + 9 + 512 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53372467 + ... + 53374733.

It is an arithmetic number, because the mean of its divisors is an integer number (871116120).

Almost surely, 2^120997951200 is an apocalyptic number.

120997951200 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 120997951200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250881442560).

120997951200 is an abundant number, since it is smaller than the sum of its proper divisors (380764933920).

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

120997951200 is a wasteful number, since it uses less digits than its factorization.

120997951200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 120997951200 in words is "one hundred twenty billion, nine hundred ninety-seven million, nine hundred fifty-one thousand, two hundred".