120180672 has 140 divisors (see below), whose sum is σ = 361431840. Its totient is φ = 39481344.

The previous prime is 120180659. The next prime is 120180673. The reversal of 120180672 is 276081021.

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 (120180673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 502729 + ... + 502967.

It is an arithmetic number, because the mean of its divisors is an integer number (2581656).

Almost surely, 2^120180672 is an apocalyptic number.

120180672 is a gapful number since it is divisible by the number (12) 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 120180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180715920).

120180672 is an abundant number, since it is smaller than the sum of its proper divisors (241251168).

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

120180672 is an equidigital number, since it uses as much as digits as its factorization.

120180672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 120180672 is about 10962.6945592769. The cubic root of 120180672 is about 493.4898326635.

The spelling of 120180672 in words is "one hundred twenty million, one hundred eighty thousand, six hundred seventy-two".