321122320 has 80 divisors (see below), whose sum is σ = 783878400. Its totient is φ = 122107392.

The previous prime is 321122303. The next prime is 321122341. The reversal of 321122320 is 23221123.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 321122294 and 321122303.

It is an unprimeable number.

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, 365722 + ... + 366598.

It is an arithmetic number, because the mean of its divisors is an integer number (9798480).

Almost surely, 2^321122320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391939200).

321122320 is an abundant number, since it is smaller than the sum of its proper divisors (462756080).

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

321122320 is a wasteful number, since it uses less digits than its factorization.

321122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 321122320 is about 17919.8861603527. The cubic root of 321122320 is about 684.7890873920.

Adding to 321122320 its reverse (23221123), we get a palindrome (344343443).

The spelling of 321122320 in words is "three hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty".