3112112313000 has 512 divisors, whose sum is σ = 11293955712000. Its totient is φ = 791259955200.

The previous prime is 3112112312971. The next prime is 3112112313007. The reversal of 3112112313000 is 3132112113.

3112112313000 is a `hidden beast` number, since 311 + 21 + 1 + 2 + 31 + 300 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3112112313007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196849096 + ... + 196864904.

It is an arithmetic number, because the mean of its divisors is an integer number (22058507250).

Almost surely, 2^{3112112313000} is an apocalyptic number.

3112112313000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112112313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646977856000).

3112112313000 is an abundant number, since it is smaller than the sum of its proper divisors (8181843399000).

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

3112112313000 is a wasteful number, since it uses less digits than its factorization.

3112112313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16179 (or 16159 counting only the distinct ones).

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

Adding to 3112112313000 its reverse (3132112113), we get a palindrome (3115244425113).

The spelling of 3112112313000 in words is "three trillion, one hundred twelve billion, one hundred twelve million, three hundred thirteen thousand".