321121120 has 48 divisors (see below), whose sum is σ = 762652800. Its totient is φ = 127770624.

The previous prime is 321121103. The next prime is 321121139. The reversal of 321121120 is 21121123.

It is a self number, because there is not a number n which added to its sum of digits gives 321121120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25681 + ... + 36079.

It is an arithmetic number, because the mean of its divisors is an integer number (15888600).

Almost surely, 2^321121120 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 321121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381326400).

321121120 is an abundant number, since it is smaller than the sum of its proper divisors (441531680).

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

321121120 is a wasteful number, since it uses less digits than its factorization.

321121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10607 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 321121120 is about 17919.8526779659. The cubic root of 321121120 is about 684.7882343962.

Adding to 321121120 its reverse (21121123), we get a palindrome (342242243).

The spelling of 321121120 in words is "three hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".