22122213300000 has 864 divisors, whose sum is σ = 86313492457920. Its totient is φ = 5329670400000.

The previous prime is 22122213299981. The next prime is 22122213300013. The reversal of 22122213300000 is 331222122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1613693146 + ... + 1613706854.

It is an arithmetic number, because the mean of its divisors is an integer number (99899875530).

Almost surely, 2^{22122213300000} is an apocalyptic number.

22122213300000 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 22122213300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43156746228960).

22122213300000 is an abundant number, since it is smaller than the sum of its proper divisors (64191279157920).

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

22122213300000 is a wasteful number, since it uses less digits than its factorization.

22122213300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13924 (or 13893 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22122213300000 its reverse (331222122), we get a palindrome (22122544522122).

The spelling of 22122213300000 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred thirteen million, three hundred thousand".