3121144320 has 160 divisors (see below), whose sum is σ = 11403520128. Its totient is φ = 713392128.

The previous prime is 3121144303. The next prime is 3121144331. The reversal of 3121144320 is 234411213.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 24732 + ... + 82788.

Almost surely, 2^3121144320 is an apocalyptic number.

3121144320 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 3121144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701760064).

3121144320 is an abundant number, since it is smaller than the sum of its proper divisors (8282375808).

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

3121144320 is an equidigital number, since it uses as much as digits as its factorization.

3121144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58090 (or 58074 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3121144320 is about 55867.2025431738. The cubic root of 3121144320 is about 1461.4073375538.

Adding to 3121144320 its reverse (234411213), we get a palindrome (3355555533).

The spelling of 3121144320 in words is "three billion, one hundred twenty-one million, one hundred forty-four thousand, three hundred twenty".