120557140 has 72 divisors (see below), whose sum is σ = 287433216. Its totient is φ = 42398400.

The previous prime is 120557113. The next prime is 120557141. The reversal of 120557140 is 41755021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120557141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74217 + ... + 75823.

It is an arithmetic number, because the mean of its divisors is an integer number (3992128).

Almost surely, 2^120557140 is an apocalyptic number.

120557140 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 120557140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143716608).

120557140 is an abundant number, since it is smaller than the sum of its proper divisors (166876076).

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

120557140 is a wasteful number, since it uses less digits than its factorization.

120557140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 120557140 is about 10979.8515472660. The cubic root of 120557140 is about 494.0045839806.

The spelling of 120557140 in words is "one hundred twenty million, five hundred fifty-seven thousand, one hundred forty".