321122213120 has 144 divisors (see below), whose sum is σ = 776623196160. Its totient is φ = 127211814912.

The previous prime is 321122213057. The next prime is 321122213129. The reversal of 321122213120 is 21312221123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 321122213092 and 321122213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321122213129) 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, 83995529 + ... + 83999351.

It is an arithmetic number, because the mean of its divisors is an integer number (5393216640).

Almost surely, 2^321122213120 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 321122213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388311598080).

321122213120 is an abundant number, since it is smaller than the sum of its proper divisors (455500983040).

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

321122213120 is a wasteful number, since it uses less digits than its factorization.

321122213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 321122213120 its reverse (21312221123), we get a palindrome (342434434243).

The spelling of 321122213120 in words is "three hundred twenty-one billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".