120975120 has 360 divisors, whose sum is σ = 493968384. Its totient is φ = 27433728.

The previous prime is 120975103. The next prime is 120975121. The reversal of 120975120 is 21579021.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (120975121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952497 + ... + 952623.

Almost surely, 2^120975120 is an apocalyptic number.

120975120 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 120975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246984192).

120975120 is an abundant number, since it is smaller than the sum of its proper divisors (372993264).

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

120975120 is a wasteful number, since it uses less digits than its factorization.

120975120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 120975120 is about 10998.8690327688. The cubic root of 120975120 is about 494.5748415450.

The spelling of 120975120 in words is "one hundred twenty million, nine hundred seventy-five thousand, one hundred twenty".