120180 has 24 divisors (see below), whose sum is σ = 336672. Its totient is φ = 32032.

The previous prime is 120167. The next prime is 120181. The reversal of 120180 is 81021.

It is a happy number.

120180 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

120180 is a modest number, since divided by 180 gives 120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120181) by changing a digit.

120180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (14028).

2¹²⁰¹⁸⁰ is an apocalyptic number.

120180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120180 is an abundant number, since it is smaller than the sum of its proper divisors (216492).

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

120180 is a wasteful number, since it uses less digits than its factorization.

120180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 120180 is about 346.6698717801. The cubic root of 120180 is about 49.3488912866.

It can be divided in two parts, 120 and 180, that added together give a triangular number (300 = T₂₄).

The spelling of 120180 in words is "one hundred twenty thousand, one hundred eighty".