322311013023120 has 640 divisors, whose sum is σ = 1122140780679168. Its totient is φ = 75873591091200.

The previous prime is 322311013023107. The next prime is 322311013023163. The reversal of 322311013023120 is 21320310113223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3469655394 + ... + 3469748286.

Almost surely, 2^{322311013023120} is an apocalyptic number.

322311013023120 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 322311013023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561070390339584).

322311013023120 is an abundant number, since it is smaller than the sum of its proper divisors (799829767656048).

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

322311013023120 is a wasteful number, since it uses less digits than its factorization.

322311013023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93271 (or 93265 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 322311013023120 its reverse (21320310113223), we get a palindrome (343631323136343).

The spelling of 322311013023120 in words is "three hundred twenty-two trillion, three hundred eleven billion, thirteen million, twenty-three thousand, one hundred twenty".