321312120 has 64 divisors (see below), whose sum is σ = 969909120. Its totient is φ = 85152384.

The previous prime is 321312113. The next prime is 321312127. The reversal of 321312120 is 21213123.

It is an interprime number because it is at equal distance from previous prime (321312113) and next prime (321312127).

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 321312120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321312127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11347 + ... + 27773.

It is an arithmetic number, because the mean of its divisors is an integer number (15154830).

Almost surely, 2^321312120 is an apocalyptic number.

321312120 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 321312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484954560).

321312120 is an abundant number, since it is smaller than the sum of its proper divisors (648597000).

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

321312120 is a wasteful number, since it uses less digits than its factorization.

321312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16604 (or 16600 counting only the distinct ones).

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

The square root of 321312120 is about 17925.1811706326. The cubic root of 321312120 is about 684.9239761474.

Adding to 321312120 its reverse (21213123), we get a palindrome (342525243).

The spelling of 321312120 in words is "three hundred twenty-one million, three hundred twelve thousand, one hundred twenty".