120525200 has 60 divisors (see below), whose sum is σ = 294527280. Its totient is φ = 47383680.

The previous prime is 120525157. The next prime is 120525217. The reversal of 120525200 is 2525021.

It is a plaindrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21047 + ... + 26153.

It is an arithmetic number, because the mean of its divisors is an integer number (4908788).

Almost surely, 2^120525200 is an apocalyptic number.

120525200 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 120525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147263640).

120525200 is an abundant number, since it is smaller than the sum of its proper divisors (174002080).

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

120525200 is a wasteful number, since it uses less digits than its factorization.

120525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 120525200 is about 10978.3969685925. The cubic root of 120525200 is about 493.9609534940.

The spelling of 120525200 in words is "one hundred twenty million, five hundred twenty-five thousand, two hundred".