120082120 has 32 divisors (see below), whose sum is σ = 272979000. Its totient is φ = 47536128.

The previous prime is 120082111. The next prime is 120082163. The reversal of 120082120 is 21280021.

It can be written as a sum of positive squares in 4 ways, for example, as 115390564 + 4691556 = 10742^2 + 2166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120082094 and 120082103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11595 + ... + 19354.

Almost surely, 2^120082120 is an apocalyptic number.

120082120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120082120 is an abundant number, since it is smaller than the sum of its proper divisors (152896880).

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

120082120 is a wasteful number, since it uses less digits than its factorization.

120082120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31057 (or 31053 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 120082120 is about 10958.1987570951. The cubic root of 120082120 is about 493.3549032854.

The spelling of 120082120 in words is "one hundred twenty million, eighty-two thousand, one hundred twenty".