322332112102000 has 640 divisors, whose sum is σ = 1048328250697728. Its totient is φ = 92573862912000.

The previous prime is 322332112101953. The next prime is 322332112102159. The reversal of 322332112102000 is 201211233223.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1126983012 + ... + 1127268988.

Almost surely, 2^{322332112102000} 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 322332112102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524164125348864).

322332112102000 is an abundant number, since it is smaller than the sum of its proper divisors (725996138595728).

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

322332112102000 is a wasteful number, since it uses less digits than its factorization.

322332112102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286594 (or 286578 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 322332112102000 its reverse (201211233223), we get a palindrome (322533323335223).

The spelling of 322332112102000 in words is "three hundred twenty-two trillion, three hundred thirty-two billion, one hundred twelve million, one hundred two thousand".