120516120 has 128 divisors (see below), whose sum is σ = 404928000. Its totient is φ = 31881600.

The previous prime is 120516119. The next prime is 120516161. The reversal of 120516120 is 21615021.

120516120 is a `hidden beast` number, since 1 + 2 + 0 + 51 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120516093 and 120516102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162711 + ... + 163449.

It is an arithmetic number, because the mean of its divisors is an integer number (3163500).

Almost surely, 2^120516120 is an apocalyptic number.

120516120 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 120516120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202464000).

120516120 is an abundant number, since it is smaller than the sum of its proper divisors (284411880).

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

120516120 is a wasteful number, since it uses less digits than its factorization.

120516120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 120516120 is about 10977.9834213757. The cubic root of 120516120 is about 493.9485486799.

The spelling of 120516120 in words is "one hundred twenty million, five hundred sixteen thousand, one hundred twenty".