390120000012 has 72 divisors (see below), whose sum is σ = 1002302958384. Its totient is φ = 127921637376.

The previous prime is 390120000007. The next prime is 390120000047. The reversal of 390120000012 is 210000021093.

It is a happy number.

390120000012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×390120000012² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 390120000012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416028 + ... + 976380.

It is an arithmetic number, because the mean of its divisors is an integer number (13920874422).

Almost surely, 2^390120000012 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 390120000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501151479192).

390120000012 is an abundant number, since it is smaller than the sum of its proper divisors (612182958372).

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

390120000012 is a wasteful number, since it uses less digits than its factorization.

390120000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560679 (or 560674 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 390120000012 in words is "three hundred ninety billion, one hundred twenty million, twelve", and thus it is an aban number.