3112011201320 has 384 divisors, whose sum is σ = 8873504640000. Its totient is φ = 976307447808.

The previous prime is 3112011201283. The next prime is 3112011201443. The reversal of 3112011201320 is 231021102113.

It is a super-2 number, since 2×3112011201320² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142486961 + ... + 142508799.

It is an arithmetic number, because the mean of its divisors is an integer number (23108085000).

Almost surely, 2^{3112011201320} 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 3112011201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436752320000).

3112011201320 is an abundant number, since it is smaller than the sum of its proper divisors (5761493438680).

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

3112011201320 is a wasteful number, since it uses less digits than its factorization.

3112011201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22025 (or 22014 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 3112011201320 its reverse (231021102113), we get a palindrome (3343032303433).

The spelling of 3112011201320 in words is "three trillion, one hundred twelve billion, eleven million, two hundred one thousand, three hundred twenty".