120570120 has 320 divisors, whose sum is σ = 470448000. Its totient is φ = 27371520.

The previous prime is 120570119. The next prime is 120570157. The reversal of 120570120 is 21075021.

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 = 120570093 and 120570102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 605781 + ... + 605979.

It is an arithmetic number, because the mean of its divisors is an integer number (1470150).

Almost surely, 2^120570120 is an apocalyptic number.

120570120 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 120570120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235224000).

120570120 is an abundant number, since it is smaller than the sum of its proper divisors (349877880).

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

120570120 is a wasteful number, since it uses less digits than its factorization.

120570120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 120570120 is about 10980.4426140297. The cubic root of 120570120 is about 494.0223126399.

The spelling of 120570120 in words is "one hundred twenty million, five hundred seventy thousand, one hundred twenty".