120815520 has 192 divisors, whose sum is σ = 446052096. Its totient is φ = 26910720.

The previous prime is 120815507. The next prime is 120815543. The reversal of 120815520 is 25518021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 137322 + ... + 138198.

It is an arithmetic number, because the mean of its divisors is an integer number (2323188).

Almost surely, 2^120815520 is an apocalyptic number.

120815520 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 120815520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223026048).

120815520 is an abundant number, since it is smaller than the sum of its proper divisors (325236576).

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

120815520 is a wasteful number, since it uses less digits than its factorization.

120815520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 120815520 is about 10991.6113468408. The cubic root of 120815520 is about 494.3572516740.

The spelling of 120815520 in words is "one hundred twenty million, eight hundred fifteen thousand, five hundred twenty".