120013008 has 40 divisors (see below), whose sum is σ = 313968000. Its totient is φ = 39496704.

The previous prime is 120013001. The next prime is 120013009. The reversal of 120013008 is 800310021.

It is a happy number.

120013008 is a modest number, since divided by 13008 gives 1200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12033 + ... + 19616.

It is an arithmetic number, because the mean of its divisors is an integer number (7849200).

Almost surely, 2^120013008 is an apocalyptic number.

It is an amenable number.

120013008 is an abundant number, since it is smaller than the sum of its proper divisors (193954992).

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

120013008 is a wasteful number, since it uses less digits than its factorization.

120013008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31739 (or 31733 counting only the distinct ones).

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

The square root of 120013008 is about 10955.0448652664. The cubic root of 120013008 is about 493.2602367147.

Adding to 120013008 its reverse (800310021), we get a palindrome (920323029).

The spelling of 120013008 in words is "one hundred twenty million, thirteen thousand, eight".