120525520 has 80 divisors (see below), whose sum is σ = 301980672. Its totient is φ = 44605440.

The previous prime is 120525511. The next prime is 120525523. The reversal of 120525520 is 25525021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 120525491 and 120525500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120525523) 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 15 ways as a sum of consecutive naturals, for example, 55984 + ... + 58096.

Almost surely, 2^120525520 is an apocalyptic number.

120525520 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 120525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150990336).

120525520 is an abundant number, since it is smaller than the sum of its proper divisors (181455152).

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

120525520 is a wasteful number, since it uses less digits than its factorization.

120525520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 120525520 is about 10978.4115426595. The cubic root of 120525520 is about 493.9613906567.

The spelling of 120525520 in words is "one hundred twenty million, five hundred twenty-five thousand, five hundred twenty".