3120312130000 has 400 divisors, whose sum is σ = 8688068928000. Its totient is φ = 1076463360000.

The previous prime is 3120312129983. The next prime is 3120312130099. The reversal of 3120312130000 is 312130213.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116856651 + ... + 116883349.

It is an arithmetic number, because the mean of its divisors is an integer number (21720172320).

Almost surely, 2^{3120312130000} 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 3120312130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344034464000).

3120312130000 is an abundant number, since it is smaller than the sum of its proper divisors (5567756798000).

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

3120312130000 is a wasteful number, since it uses less digits than its factorization.

3120312130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26800 (or 26779 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3120312130000 its reverse (312130213), we get a palindrome (3120624260213).

The spelling of 3120312130000 in words is "three trillion, one hundred twenty billion, three hundred twelve million, one hundred thirty thousand".