120180225 has 144 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 50688000.

The previous prime is 120180173. The next prime is 120180241. The reversal of 120180225 is 522081021.

It is a happy number.

It is not a de Polignac number, because 120180225 - 2¹⁵ = 120147457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2931205 + ... + 2931245.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^120180225 is an apocalyptic number.

120180225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120180225 is an abundant number, since it is smaller than the sum of its proper divisors (129178815).

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

120180225 is a wasteful number, since it uses less digits than its factorization.

120180225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 120180225 is about 10962.6741719345. The cubic root of 120180225 is about 493.4892208340.

The spelling of 120180225 in words is "one hundred twenty million, one hundred eighty thousand, two hundred twenty-five".