3112003102320 has 320 divisors, whose sum is σ = 12255762723840. Its totient is φ = 711005064192.

The previous prime is 3112003102309. The next prime is 3112003102321. The reversal of 3112003102320 is 232013002113.

3112003102320 is a `hidden beast` number, since 3 + 1 + 120 + 0 + 310 + 232 + 0 = 666.

3112003102320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3112003102293 and 3112003102302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112003102321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35594179 + ... + 35681501.

It is an arithmetic number, because the mean of its divisors is an integer number (38299258512).

Almost surely, 2^{3112003102320} is an apocalyptic number.

3112003102320 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 3112003102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127881361920).

3112003102320 is an abundant number, since it is smaller than the sum of its proper divisors (9143759621520).

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

3112003102320 is a wasteful number, since it uses less digits than its factorization.

3112003102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89709 (or 89697 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3112003102320 its reverse (232013002113), we get a palindrome (3344016104433).

The spelling of 3112003102320 in words is "three trillion, one hundred twelve billion, three million, one hundred two thousand, three hundred twenty".