322221312 has 108 divisors (see below), whose sum is σ = 1061817120. Its totient is φ = 92058624.

The previous prime is 322221311. The next prime is 322221313. The reversal of 322221312 is 213122223.

It is an interprime number because it is at equal distance from previous prime (322221311) and next prime (322221313).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6139 + ... + 26117.

It is an arithmetic number, because the mean of its divisors is an integer number (9831640).

Almost surely, 2^322221312 is an apocalyptic number.

322221312 is a gapful number since it is divisible by the number (32) 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 322221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530908560).

322221312 is an abundant number, since it is smaller than the sum of its proper divisors (739595808).

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

322221312 is a wasteful number, since it uses less digits than its factorization.

322221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20008 (or 19991 counting only the distinct ones).

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

The square root of 322221312 is about 17950.5240034936. The cubic root of 322221312 is about 685.5693931957.

Adding to 322221312 its reverse (213122223), we get a palindrome (535343535).

The spelling of 322221312 in words is "three hundred twenty-two million, two hundred twenty-one thousand, three hundred twelve".