120120875016192 has 392 divisors, whose sum is σ = 360343775820024. Its totient is φ = 40021629272064.

The previous prime is 120120875016151. The next prime is 120120875016257. The reversal of 120120875016192 is 291610578021021.

120120875016192 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 0 + 87 + 501 + 61 + 9 + 2 = 666.

It is a super-2 number, since 2×120120875016192² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19844846638 + ... + 19844852690.

Almost surely, 2^{120120875016192} is an apocalyptic number.

120120875016192 is a gapful number since it is divisible by the number (12) 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 120120875016192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180171887910012).

120120875016192 is an abundant number, since it is smaller than the sum of its proper divisors (240222900803832).

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

120120875016192 is an frugal number, since it uses more digits than its factorization.

120120875016192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9420 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 120120875016192 in words is "one hundred twenty trillion, one hundred twenty billion, eight hundred seventy-five million, sixteen thousand, one hundred ninety-two".