331222122320000 has 640 divisors, whose sum is σ = 915876563184000. Its totient is φ = 118708457472000.

The previous prime is 331222122319993. The next prime is 331222122320003. The reversal of 331222122320000 is 23221222133.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (331222122320003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3111386774 + ... + 3111493226.

It is an arithmetic number, because the mean of its divisors is an integer number (1431057129975).

Almost surely, 2^{331222122320000} 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 331222122320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457938281592000).

331222122320000 is an abundant number, since it is smaller than the sum of its proper divisors (584654440864000).

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

331222122320000 is a wasteful number, since it uses less digits than its factorization.

331222122320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106618 (or 106591 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 331222122320000 its reverse (23221222133), we get a palindrome (331245343542133).

The spelling of 331222122320000 in words is "three hundred thirty-one trillion, two hundred twenty-two billion, one hundred twenty-two million, three hundred twenty thousand".