3121846414722 has 480 divisors, whose sum is σ = 8875042919424. Its totient is φ = 801784526400.

The previous prime is 3121846414711. The next prime is 3121846414769. The reversal of 3121846414722 is 2274146481213.

3121846414722 is a `hidden beast` number, since 3 + 1 + 21 + 8 + 464 + 147 + 22 = 666.

It is a super-2 number, since 2×3121846414722² (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 (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1233442597 + ... + 1233445127.

Almost surely, 2^{3121846414722} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121846414722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437521459712).

3121846414722 is an abundant number, since it is smaller than the sum of its proper divisors (5753196504702).

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

3121846414722 is a wasteful number, since it uses less digits than its factorization.

3121846414722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2716 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 3121846414722 in words is "three trillion, one hundred twenty-one billion, eight hundred forty-six million, four hundred fourteen thousand, seven hundred twenty-two".