120417920 has 64 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 41284608.

The previous prime is 120417887. The next prime is 120417923. The reversal of 120417920 is 29714021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 120417920.

It is not an unprimeable number, because it can be changed into a prime (120417923) 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 7 ways as a sum of consecutive naturals, for example, 8960 + ... + 17919.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2^120417920 is an apocalyptic number.

120417920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120417920 is the 8960-th pentagonal number.

It is an amenable number.

120417920 is an abundant number, since it is smaller than the sum of its proper divisors (208593280).

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

120417920 is an equidigital number, since it uses as much as digits as its factorization.

120417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26905 (or 26893 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 120417920 is about 10973.5099216249. The cubic root of 120417920 is about 493.8143510636.

The spelling of 120417920 in words is "one hundred twenty million, four hundred seventeen thousand, nine hundred twenty".