3112123330000 has 400 divisors, whose sum is σ = 8071899365376. Its totient is φ = 1159266240000.

The previous prime is 3112123329949. The next prime is 3112123330021. The reversal of 3112123330000 is 333212113.

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

It is a super-2 number, since 2×3112123330000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3112123330000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2410629355 + ... + 2410630645.

Almost surely, 2^{3112123330000} 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 3112123330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035949682688).

3112123330000 is an abundant number, since it is smaller than the sum of its proper divisors (4959776035376).

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

3112123330000 is a wasteful number, since it uses less digits than its factorization.

3112123330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3112123330000 its reverse (333212113), we get a palindrome (3112456542113).

The spelling of 3112123330000 in words is "three trillion, one hundred twelve billion, one hundred twenty-three million, three hundred thirty thousand".