3120315004000 has 192 divisors, whose sum is σ = 8001808057152. Its totient is φ = 1194705408000.

The previous prime is 3120315003989. The next prime is 3120315004019. The reversal of 3120315004000 is 4005130213.

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, 8512507 + ... + 8871493.

It is an arithmetic number, because the mean of its divisors is an integer number (41676083631).

Almost surely, 2^{3120315004000} 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 3120315004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000904028576).

3120315004000 is an abundant number, since it is smaller than the sum of its proper divisors (4881493053152).

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

3120315004000 is a wasteful number, since it uses less digits than its factorization.

3120315004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359106 (or 359088 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The spelling of 3120315004000 in words is "three trillion, one hundred twenty billion, three hundred fifteen million, four thousand".