120240180 has 96 divisors (see below), whose sum is σ = 377758080. Its totient is φ = 31749120.

The previous prime is 120240179. The next prime is 120240187. The reversal of 120240180 is 81042021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120240187) 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 31 ways as a sum of consecutive naturals, for example, 56740 + ... + 58820.

It is an arithmetic number, because the mean of its divisors is an integer number (3934980).

Almost surely, 2^120240180 is an apocalyptic number.

120240180 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 120240180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188879040).

120240180 is an abundant number, since it is smaller than the sum of its proper divisors (257517900).

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

120240180 is a wasteful number, since it uses less digits than its factorization.

120240180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 120240180 is about 10965.4083371300. The cubic root of 120240180 is about 493.5712704599.

The spelling of 120240180 in words is "one hundred twenty million, two hundred forty thousand, one hundred eighty".