120557160 has 192 divisors, whose sum is σ = 414086400. Its totient is φ = 31539456.

The previous prime is 120557153. The next prime is 120557189. The reversal of 120557160 is 61755021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767802 + ... + 767958.

It is an arithmetic number, because the mean of its divisors is an integer number (2156700).

Almost surely, 2^120557160 is an apocalyptic number.

120557160 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 120557160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207043200).

120557160 is an abundant number, since it is smaller than the sum of its proper divisors (293529240).

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

120557160 is a wasteful number, since it uses less digits than its factorization.

120557160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 120557160 is about 10979.8524580251. The cubic root of 120557160 is about 494.0046112985.

The spelling of 120557160 in words is "one hundred twenty million, five hundred fifty-seven thousand, one hundred sixty".