322123020300032 has 144 divisors (see below), whose sum is σ = 736473175603200. Its totient is φ = 137746569031680.

The previous prime is 322123020299929. The next prime is 322123020300079. The reversal of 322123020300032 is 230003020321223.

It is a junction number, because it is equal to n+sod(n) for n = 322123020299980 and 322123020300007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8187952682 + ... + 8187992022.

It is an arithmetic number, because the mean of its divisors is an integer number (5114397052800).

Almost surely, 2^{322123020300032} is an apocalyptic number.

322123020300032 is a gapful number since it is divisible by the number (32) 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 322123020300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368236587801600).

322123020300032 is an abundant number, since it is smaller than the sum of its proper divisors (414350155303168).

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

322123020300032 is an equidigital number, since it uses as much as digits as its factorization.

322123020300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49382 (or 49368 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 322123020300032 its reverse (230003020321223), we get a palindrome (552126040621255).

The spelling of 322123020300032 in words is "three hundred twenty-two trillion, one hundred twenty-three billion, twenty million, three hundred thousand, thirty-two".