322400222021120 has 160 divisors (see below), whose sum is σ = 807124887486720. Its totient is φ = 123274971832320.

The previous prime is 322400222021113. The next prime is 322400222021147. The reversal of 322400222021120 is 21120222004223.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (23).

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 15 ways as a sum of consecutive naturals, for example, 91237655 + ... + 94705385.

It is an arithmetic number, because the mean of its divisors is an integer number (5044530546792).

Almost surely, 2^{322400222021120} 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 322400222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403562443743360).

322400222021120 is an abundant number, since it is smaller than the sum of its proper divisors (484724665465600).

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

322400222021120 is a wasteful number, since it uses less digits than its factorization.

322400222021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469356 (or 3469340 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 322400222021120 its reverse (21120222004223), we get a palindrome (343520444025343).

The spelling of 322400222021120 in words is "three hundred twenty-two trillion, four hundred billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".