3112022133220 has 576 divisors, whose sum is σ = 9495965477376. Its totient is φ = 840232673280.

The previous prime is 3112022133193. The next prime is 3112022133271. The reversal of 3112022133220 is 223312202113.

3112022133220 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 3112022133191 and 3112022133200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170821552 + ... + 170839768.

It is an arithmetic number, because the mean of its divisors is an integer number (16486051176).

Almost surely, 2^{3112022133220} 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 3112022133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747982738688).

3112022133220 is an abundant number, since it is smaller than the sum of its proper divisors (6383943344156).

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

3112022133220 is a wasteful number, since it uses less digits than its factorization.

3112022133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340 (or 18331 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3112022133220 its reverse (223312202113), we get a palindrome (3335334335333).

The spelling of 3112022133220 in words is "three trillion, one hundred twelve billion, twenty-two million, one hundred thirty-three thousand, two hundred twenty".