120418000 has 40 divisors (see below), whose sum is σ = 291175560. Its totient is φ = 48166400.

The previous prime is 120417967. The next prime is 120418027. The reversal of 120418000 is 814021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38044224 + 82373776 = 6168^2 + 9076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28105 + ... + 32104.

It is an arithmetic number, because the mean of its divisors is an integer number (7279389).

Almost surely, 2^120418000 is an apocalyptic number.

120418000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120418000 is an abundant number, since it is smaller than the sum of its proper divisors (170757560).

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

120418000 is an equidigital number, since it uses as much as digits as its factorization.

120418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60232 (or 60216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 120418000 is about 10973.5135667661. The cubic root of 120418000 is about 493.8144604193.

The spelling of 120418000 in words is "one hundred twenty million, four hundred eighteen thousand".