120120120 has 48 divisors (see below), whose sum is σ = 390391560. Its totient is φ = 32031936.

The previous prime is 120120097. The next prime is 120120127. The reversal of 120120120 is 21021021.

It is a Harshad number since it is a multiple of its sum of digits (9).

120120120 is a modest number, since divided by 120120 gives 120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120127) 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 11 ways as a sum of consecutive naturals, for example, 166474 + ... + 167193.

Almost surely, 2^120120120 is an apocalyptic number.

120120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120120 is an abundant number, since it is smaller than the sum of its proper divisors (270271440).

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

120120120 is a wasteful number, since it uses less digits than its factorization.

120120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333684 (or 333677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120120120 is about 10959.9324815439. The cubic root of 120120120 is about 493.4069385347.

Adding to 120120120 its reverse (21021021), we get a palindrome (141141141).

Subtracting from 120120120 its reverse (21021021), we obtain a palindrome (99099099).

It can be divided in two parts, 1201 and 20120, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 120120120 in words is "one hundred twenty million, one hundred twenty thousand, one hundred twenty".