120357120 has 144 divisors (see below), whose sum is σ = 414130752. Its totient is φ = 29614080.

The previous prime is 120357101. The next prime is 120357121. The reversal of 120357120 is 21753021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120357121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48715 + ... + 51125.

It is an arithmetic number, because the mean of its divisors is an integer number (2875908).

Almost surely, 2^120357120 is an apocalyptic number.

120357120 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 120357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207065376).

120357120 is an abundant number, since it is smaller than the sum of its proper divisors (293773632).

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

120357120 is a wasteful number, since it uses less digits than its factorization.

120357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 120357120 is about 10970.7392640606. The cubic root of 120357120 is about 493.7312267604.

The spelling of 120357120 in words is "one hundred twenty million, three hundred fifty-seven thousand, one hundred twenty".