120004080 has 160 divisors (see below), whose sum is σ = 432496128. Its totient is φ = 26956800.

The previous prime is 120004039. The next prime is 120004091. The reversal of 120004080 is 80400021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101895 + ... + 103065.

Almost surely, 2^120004080 is an apocalyptic number.

120004080 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 120004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216248064).

120004080 is an abundant number, since it is smaller than the sum of its proper divisors (312492048).

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

120004080 is a wasteful number, since it uses less digits than its factorization.

120004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 120004080 is about 10954.6373741900. The cubic root of 120004080 is about 493.2480048834.

The spelling of 120004080 in words is "one hundred twenty million, four thousand, eighty".