321321120 has 48 divisors (see below), whose sum is σ = 1012163040. Its totient is φ = 85685504.

The previous prime is 321321113. The next prime is 321321163. The reversal of 321321120 is 21123123.

It is a tau number, because it is divible by the number of its divisors (48).

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 321321120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334230 + ... + 335189.

It is an arithmetic number, because the mean of its divisors is an integer number (21086730).

Almost surely, 2^321321120 is an apocalyptic number.

321321120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321321120 is an abundant number, since it is smaller than the sum of its proper divisors (690841920).

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

321321120 is a wasteful number, since it uses less digits than its factorization.

321321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669437 (or 669429 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 321321120 is about 17925.4322123624. The cubic root of 321321120 is about 684.9303710283.

Adding to 321321120 its reverse (21123123), we get a palindrome (342444243).

The spelling of 321321120 in words is "three hundred twenty-one million, three hundred twenty-one thousand, one hundred twenty".