321111320 has 64 divisors (see below), whose sum is σ = 742184640. Its totient is φ = 124992000.

The previous prime is 321111319. The next prime is 321111337. The reversal of 321111320 is 23111123.

321111320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×321111320² = 206224959664284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321111295 and 321111304.

It is a congruent number.

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, 245789 + ... + 247091.

It is an arithmetic number, because the mean of its divisors is an integer number (11596635).

Almost surely, 2^321111320 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 321111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371092320).

321111320 is an abundant number, since it is smaller than the sum of its proper divisors (421073320).

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

321111320 is a wasteful number, since it uses less digits than its factorization.

321111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 321111320 is about 17919.5792361316. The cubic root of 321111320 is about 684.7812681847.

Adding to 321111320 its reverse (23111123), we get a palindrome (344222443).

The spelling of 321111320 in words is "three hundred twenty-one million, one hundred eleven thousand, three hundred twenty".