322311131120 has 160 divisors (see below), whose sum is σ = 863323743744. Its totient is φ = 110756940800.

The previous prime is 322311131101. The next prime is 322311131123. The reversal of 322311131120 is 21131113223.

It is a happy number.

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 = 322311131092 and 322311131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322311131123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583990 + ... + 1775850.

Almost surely, 2^322311131120 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 322311131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431661871872).

322311131120 is an abundant number, since it is smaller than the sum of its proper divisors (541012612624).

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

322311131120 is a wasteful number, since it uses less digits than its factorization.

322311131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191991 (or 191985 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 322311131120 its reverse (21131113223), we get a palindrome (343442244343).

The spelling of 322311131120 in words is "three hundred twenty-two billion, three hundred eleven million, one hundred thirty-one thousand, one hundred twenty".