3122332041312 has 480 divisors, whose sum is σ = 10283445051264. Its totient is φ = 921138739200.

The previous prime is 3122332041229. The next prime is 3122332041379. The reversal of 3122332041312 is 2131402332213.

3122332041312 is a `hidden beast` number, since 3 + 1 + 2 + 23 + 320 + 4 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 611380263 + ... + 611385369.

Almost surely, 2^{3122332041312} is an apocalyptic number.

3122332041312 is a gapful number since it is divisible by the number (32) 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 3122332041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141722525632).

3122332041312 is an abundant number, since it is smaller than the sum of its proper divisors (7161113009952).

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

3122332041312 is a wasteful number, since it uses less digits than its factorization.

3122332041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3122332041312 its reverse (2131402332213), we get a palindrome (5253734373525).

The spelling of 3122332041312 in words is "three trillion, one hundred twenty-two billion, three hundred thirty-two million, forty-one thousand, three hundred twelve".