322313011020000 has 4320 divisors, whose sum is σ = 1588487475294720. Its totient is φ = 60135229440000.

The previous prime is 322313011019969. The next prime is 322313011020067. The reversal of 322313011020000 is 20110313223.

322313011020000 is a `hidden beast` number, since 3 + 223 + 130 + 110 + 200 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 86666578141 + ... + 86666581859.

It is an arithmetic number, because the mean of its divisors is an integer number (367705434096).

Almost surely, 2^{322313011020000} is an apocalyptic number.

322313011020000 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 322313011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794243737647360).

322313011020000 is an abundant number, since it is smaller than the sum of its proper divisors (1266174464274720).

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

322313011020000 is a wasteful number, since it uses less digits than its factorization.

322313011020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 322313011020000 its reverse (20110313223), we get a palindrome (322333121333223).

The spelling of 322313011020000 in words is "three hundred twenty-two trillion, three hundred thirteen billion, eleven million, twenty thousand".