3112122640 has 160 divisors (see below), whose sum is σ = 8292326400. Its totient is φ = 1075176960.

The previous prime is 3112122631. The next prime is 3112122653. The reversal of 3112122640 is 462212113.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3622531 + ... + 3623389.

It is an arithmetic number, because the mean of its divisors is an integer number (51827040).

Almost surely, 2^3112122640 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 3112122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146163200).

3112122640 is an abundant number, since it is smaller than the sum of its proper divisors (5180203760).

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

3112122640 is a wasteful number, since it uses less digits than its factorization.

3112122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3112122640 is about 55786.4019273514. The cubic root of 3112122640 is about 1459.9979107995.

Adding to 3112122640 its reverse (462212113), we get a palindrome (3574334753).

The spelling of 3112122640 in words is "three billion, one hundred twelve million, one hundred twenty-two thousand, six hundred forty".