22320000330000 has 200 divisors, whose sum is σ = 72098304907200. Its totient is φ = 5948169792000.

The previous prime is 22320000329999. The next prime is 22320000330049. The reversal of 22320000330000 is 3300002322.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×22320000330000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 46531386 + ... + 47008614.

It is an arithmetic number, because the mean of its divisors is an integer number (360491524536).

Almost surely, 2^{22320000330000} is an apocalyptic number.

22320000330000 is a gapful number since it is divisible by the number (20) 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 22320000330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36049152453600).

22320000330000 is an abundant number, since it is smaller than the sum of its proper divisors (49778304577200).

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

22320000330000 is a wasteful number, since it uses less digits than its factorization.

22320000330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478819 (or 478798 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 22320000330000 its reverse (3300002322), we get a palindrome (22323300332322).

The spelling of 22320000330000 in words is "twenty-two trillion, three hundred twenty billion, three hundred thirty thousand".