120537120 has 192 divisors, whose sum is σ = 426093696. Its totient is φ = 28385280.

The previous prime is 120537107. The next prime is 120537139. The reversal of 120537120 is 21735021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195052 + ... + 195668.

It is an arithmetic number, because the mean of its divisors is an integer number (2219238).

Almost surely, 2^120537120 is an apocalyptic number.

120537120 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 120537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213046848).

120537120 is an abundant number, since it is smaller than the sum of its proper divisors (305556576).

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

120537120 is a wasteful number, since it uses less digits than its factorization.

120537120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

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

The square root of 120537120 is about 10978.9398395291. The cubic root of 120537120 is about 493.9772372821.

The spelling of 120537120 in words is "one hundred twenty million, five hundred thirty-seven thousand, one hundred twenty".