120380080128 has 480 divisors, whose sum is σ = 423980863488. Its totient is φ = 29412556800.

The previous prime is 120380080103. The next prime is 120380080159. The reversal of 120380080128 is 821080083021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64339033 + ... + 64340903.

Almost surely, 2^120380080128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120380080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211990431744).

120380080128 is an abundant number, since it is smaller than the sum of its proper divisors (303600783360).

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

120380080128 is a wasteful number, since it uses less digits than its factorization.

120380080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 120380080128 in words is "one hundred twenty billion, three hundred eighty million, eighty thousand, one hundred twenty-eight".