120591180 has 108 divisors (see below), whose sum is σ = 380256240. Its totient is φ = 32122656.

The previous prime is 120591179. The next prime is 120591187. The reversal of 120591180 is 81195021.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120591187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130761 + ... + 131679.

Almost surely, 2^120591180 is an apocalyptic number.

120591180 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 120591180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190128120).

120591180 is an abundant number, since it is smaller than the sum of its proper divisors (259665060).

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

120591180 is an frugal number, since it uses more digits than its factorization.

120591180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 120591180 is about 10981.4015498933. The cubic root of 120591180 is about 494.0510746145.

The spelling of 120591180 in words is "one hundred twenty million, five hundred ninety-one thousand, one hundred eighty".