120031008 has 96 divisors (see below), whose sum is σ = 331817472. Its totient is φ = 37939200.

The previous prime is 120030991. The next prime is 120031063. The reversal of 120031008 is 800130021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 157348 + ... + 158108.

It is an arithmetic number, because the mean of its divisors is an integer number (3456432).

Almost surely, 2^120031008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120031008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165908736).

120031008 is an abundant number, since it is smaller than the sum of its proper divisors (211786464).

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

120031008 is a wasteful number, since it uses less digits than its factorization.

120031008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 120031008 is about 10955.8663737744. The cubic root of 120031008 is about 493.2848958206.

Adding to 120031008 its reverse (800130021), we get a palindrome (920161029).

The spelling of 120031008 in words is "one hundred twenty million, thirty-one thousand, eight".