3121120320 has 112 divisors (see below), whose sum is σ = 9920557248. Its totient is φ = 831375360.

The previous prime is 3121120319. The next prime is 3121120349. The reversal of 3121120320 is 230211213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3121120320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1676190 + ... + 1678050.

It is an arithmetic number, because the mean of its divisors is an integer number (88576404).

Almost surely, 2^3121120320 is an apocalyptic number.

3121120320 is a gapful number since it is divisible by the number (30) 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 3121120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960278624).

3121120320 is an abundant number, since it is smaller than the sum of its proper divisors (6799436928).

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

3121120320 is a wasteful number, since it uses less digits than its factorization.

3121120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3121120320 is about 55866.9877476851. The cubic root of 3121120320 is about 1461.4035917198.

Adding to 3121120320 its reverse (230211213), we get a palindrome (3351331533).

The spelling of 3121120320 in words is "three billion, one hundred twenty-one million, one hundred twenty thousand, three hundred twenty".