120515200 has 96 divisors (see below), whose sum is σ = 320721660. Its totient is φ = 44482560.

The previous prime is 120515177. The next prime is 120515203. The reversal of 120515200 is 2515021.

It can be written as a sum of positive squares in 6 ways, for example, as 6110784 + 114404416 = 2472^2 + 10696^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120515203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40152 + ... + 43048.

Almost surely, 2^120515200 is an apocalyptic number.

120515200 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 120515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160360830).

120515200 is an abundant number, since it is smaller than the sum of its proper divisors (200206460).

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

120515200 is a wasteful number, since it uses less digits than its factorization.

120515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 120515200 is about 10977.9415192467. The cubic root of 120515200 is about 493.9472917697.

The spelling of 120515200 in words is "one hundred twenty million, five hundred fifteen thousand, two hundred".