120193557120 has 1152 divisors, whose sum is σ = 531129830400. Its totient is φ = 24498339840.

The previous prime is 120193557109. The next prime is 120193557157. The reversal of 120193557120 is 21755391021.

120193557120 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 93 + 557 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 211236196 + ... + 211236764.

It is an arithmetic number, because the mean of its divisors is an integer number (461050200).

Almost surely, 2^120193557120 is an apocalyptic number.

120193557120 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 120193557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265564915200).

120193557120 is an abundant number, since it is smaller than the sum of its proper divisors (410936273280).

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

120193557120 is a wasteful number, since it uses less digits than its factorization.

120193557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 120193557120 in words is "one hundred twenty billion, one hundred ninety-three million, five hundred fifty-seven thousand, one hundred twenty".