322332112122000 has 1280 divisors, whose sum is σ = 1128703644057600. Its totient is φ = 78967681228800.

The previous prime is 322332112121959. The next prime is 322332112122023. The reversal of 322332112122000 is 221211233223.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 255 ways as a sum of consecutive naturals, for example, 54420411039 + ... + 54420416961.

It is an arithmetic number, because the mean of its divisors is an integer number (881799721920).

Almost surely, 2^{322332112122000} is an apocalyptic number.

322332112122000 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 322332112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564351822028800).

322332112122000 is an abundant number, since it is smaller than the sum of its proper divisors (806371531935600).

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

322332112122000 is a wasteful number, since it uses less digits than its factorization.

322332112122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 322332112122000 its reverse (221211233223), we get a palindrome (322553323355223).

The spelling of 322332112122000 in words is "three hundred twenty-two trillion, three hundred thirty-two billion, one hundred twelve million, one hundred twenty-two thousand".