120576120 has 192 divisors, whose sum is σ = 436907520. Its totient is φ = 26028288.

The previous prime is 120576107. The next prime is 120576149. The reversal of 120576120 is 21675021.

120576120 = T₃₅₆ + T₃₅₇ + ... + T₉₁₅.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1526241 + ... + 1526319.

It is an arithmetic number, because the mean of its divisors is an integer number (2275560).

Almost surely, 2^120576120 is an apocalyptic number.

120576120 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 120576120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218453760).

120576120 is an abundant number, since it is smaller than the sum of its proper divisors (316331400).

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

120576120 is a wasteful number, since it uses less digits than its factorization.

120576120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 120576120 is about 10980.7158236610. The cubic root of 120576120 is about 494.0305072758.

The spelling of 120576120 in words is "one hundred twenty million, five hundred seventy-six thousand, one hundred twenty".