120307040 has 96 divisors (see below), whose sum is σ = 327317760. Its totient is φ = 40932864.

The previous prime is 120307027. The next prime is 120307073. The reversal of 120307040 is 40703021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182231 + ... + 182889.

It is an arithmetic number, because the mean of its divisors is an integer number (3409560).

Almost surely, 2^120307040 is an apocalyptic number.

120307040 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 120307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163658880).

120307040 is an abundant number, since it is smaller than the sum of its proper divisors (207010720).

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

120307040 is a wasteful number, since it uses less digits than its factorization.

120307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 120307040 is about 10968.4565915173. The cubic root of 120307040 is about 493.6627375563.

The spelling of 120307040 in words is "one hundred twenty million, three hundred seven thousand, forty".