321120 has 72 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 85248.

The previous prime is 321109. The next prime is 321143. The reversal of 321120 is 21123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

321120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1329 + ... + 1551.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2³²¹¹²⁰ is an apocalyptic number.

321120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

321120 is an abundant number, since it is smaller than the sum of its proper divisors (779616).

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

321120 is a wasteful number, since it uses less digits than its factorization.

321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 321120 is about 566.6745097496. The cubic root of 321120 is about 68.4787438265.

Adding to 321120 its reverse (21123), we get a palindrome (342243).

It can be divided in two parts, 321 and 120, that added together give a square (441 = 21²).

The spelling of 321120 in words is "three hundred twenty-one thousand, one hundred twenty", and thus it is an iban number.