322260120 has 320 divisors, whose sum is σ = 1334329920. Its totient is φ = 67931136.

The previous prime is 322260119. The next prime is 322260137. The reversal of 322260120 is 21062223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 322260093 and 322260102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294294 + ... + 295386.

It is an arithmetic number, because the mean of its divisors is an integer number (4169781).

Almost surely, 2^322260120 is an apocalyptic number.

322260120 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 322260120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667164960).

322260120 is an abundant number, since it is smaller than the sum of its proper divisors (1012069800).

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

322260120 is a wasteful number, since it uses less digits than its factorization.

322260120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 322260120 is about 17951.6049421772. The cubic root of 322260120 is about 685.5969151792.

The spelling of 322260120 in words is "three hundred twenty-two million, two hundred sixty thousand, one hundred twenty".