120129120 has 72 divisors (see below), whose sum is σ = 409945536. Its totient is φ = 32034048.

The previous prime is 120129109. The next prime is 120129127. The reversal of 120129120 is 21921021.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 120129093 and 120129102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120129127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40272 + ... + 43151.

It is an arithmetic number, because the mean of its divisors is an integer number (5693688).

Almost surely, 2^120129120 is an apocalyptic number.

120129120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120129120 is an abundant number, since it is smaller than the sum of its proper divisors (289816416).

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

120129120 is a wasteful number, since it uses less digits than its factorization.

120129120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83444 (or 83433 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 120129120 is about 10960.3430603243. The cubic root of 120129120 is about 493.4192610652.

The spelling of 120129120 in words is "one hundred twenty million, one hundred twenty-nine thousand, one hundred twenty".