322221120 has 112 divisors (see below), whose sum is σ = 1101791040. Its totient is φ = 79312896.

The previous prime is 322221101. The next prime is 322221121. The reversal of 322221120 is 21122223.

It is a happy number.

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 322221120.

It is not an unprimeable number, because it can be changed into a prime (322221121) 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 15 ways as a sum of consecutive naturals, for example, 430 + ... + 25389.

It is an arithmetic number, because the mean of its divisors is an integer number (9837420).

Almost surely, 2^322221120 is an apocalyptic number.

322221120 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 322221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550895520).

322221120 is an abundant number, since it is smaller than the sum of its proper divisors (779569920).

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

322221120 is a wasteful number, since it uses less digits than its factorization.

322221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25852 (or 25842 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 322221120 is about 17950.5186554595. The cubic root of 322221120 is about 685.5692570270.

Adding to 322221120 its reverse (21122223), we get a palindrome (343343343).

It can be divided in two parts, 3222 and 21120, that added together give a palindrome (24342).

The spelling of 322221120 in words is "three hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".