322112232000 has 1344 divisors, whose sum is σ = 1302236103168. Its totient is φ = 75479040000.

The previous prime is 322112231983. The next prime is 322112232047. The reversal of 322112232000 is 232211223.

322112232000 is a `hidden beast` number, since 3 + 221 + 122 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2458871935 + ... + 2458872065.

It is an arithmetic number, because the mean of its divisors is an integer number (968925672).

Almost surely, 2^322112232000 is an apocalyptic number.

322112232000 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 322112232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651118051584).

322112232000 is an abundant number, since it is smaller than the sum of its proper divisors (980123871168).

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

322112232000 is a wasteful number, since it uses less digits than its factorization.

322112232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 322112232000 its reverse (232211223), we get a palindrome (322344443223).

The spelling of 322112232000 in words is "three hundred twenty-two billion, one hundred twelve million, two hundred thirty-two thousand".