120107135977920 has 1344 divisors, whose sum is σ = 539539615270656. Its totient is φ = 23798478274560.

The previous prime is 120107135977819. The next prime is 120107135977999. The reversal of 120107135977920 is 29779531701021.

120107135977920 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 7 + 13 + 597 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×120107135977920² (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 191 ways as a sum of consecutive naturals, for example, 2053891722 + ... + 2053950198.

It is an arithmetic number, because the mean of its divisors is an integer number (401443166124).

Almost surely, 2^{120107135977920} is an apocalyptic number.

120107135977920 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 120107135977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269769807635328).

120107135977920 is an abundant number, since it is smaller than the sum of its proper divisors (419432479292736).

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

120107135977920 is a wasteful number, since it uses less digits than its factorization.

120107135977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58998 (or 58985 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 120107135977920 in words is "one hundred twenty trillion, one hundred seven billion, one hundred thirty-five million, nine hundred seventy-seven thousand, nine hundred twenty".