321122120 has 64 divisors (see below), whose sum is σ = 791899200. Its totient is φ = 116225280.

The previous prime is 321122101. The next prime is 321122143. The reversal of 321122120 is 21221123.

It is a happy number.

321122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 321122095 and 321122104.

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, 99167 + ... + 102353.

It is an arithmetic number, because the mean of its divisors is an integer number (12373425).

Almost surely, 2^321122120 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 321122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395949600).

321122120 is an abundant number, since it is smaller than the sum of its proper divisors (470777080).

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

321122120 is a wasteful number, since it uses less digits than its factorization.

321122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 321122120 is about 17919.8805799592. The cubic root of 321122120 is about 684.7889452262.

Adding to 321122120 its reverse (21221123), we get a palindrome (342343243).

The spelling of 321122120 in words is "three hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".