321212320 has 192 divisors, whose sum is σ = 906837120. Its totient is φ = 105984000.

The previous prime is 321212317. The next prime is 321212321. The reversal of 321212320 is 23212123.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 321212294 and 321212303.

It is not an unprimeable number, because it can be changed into a prime (321212321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2310811 + ... + 2310949.

It is an arithmetic number, because the mean of its divisors is an integer number (4723110).

Almost surely, 2^321212320 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 321212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453418560).

321212320 is an abundant number, since it is smaller than the sum of its proper divisors (585624800).

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

321212320 is a wasteful number, since it uses less digits than its factorization.

321212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 321212320 is about 17922.3971610943. The cubic root of 321212320 is about 684.8530560183.

Adding to 321212320 its reverse (23212123), we get a palindrome (344424443).

The spelling of 321212320 in words is "three hundred twenty-one million, two hundred twelve thousand, three hundred twenty".