3121282992 has 120 divisors (see below), whose sum is σ = 8480863440. Its totient is φ = 987929600.

The previous prime is 3121282933. The next prime is 3121282993. The reversal of 3121282992 is 2992821213.

It is a super-2 number, since 2×3121282992² = 19484815032296944128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3121282992.

It is not an unprimeable number, because it can be changed into a prime (3121282993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20948134 + ... + 20948282.

It is an arithmetic number, because the mean of its divisors is an integer number (70673862).

Almost surely, 2^3121282992 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 3121282992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240431720).

3121282992 is an abundant number, since it is smaller than the sum of its proper divisors (5359580448).

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

3121282992 is a wasteful number, since it uses less digits than its factorization.

3121282992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 284 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 3121282992 is about 55868.4436153362. The cubic root of 3121282992 is about 1461.4289806069.

The spelling of 3121282992 in words is "three billion, one hundred twenty-one million, two hundred eighty-two thousand, nine hundred ninety-two".