221222133223000 has 512 divisors, whose sum is σ = 640830333911040. Its totient is φ = 69606595123200.

The previous prime is 221222133222919. The next prime is 221222133223033. The reversal of 221222133223000 is 322331222122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11048390989 + ... + 11048411011.

It is an arithmetic number, because the mean of its divisors is an integer number (1251621745920).

Almost surely, 2^{221222133223000} is an apocalyptic number.

221222133223000 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 221222133223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320415166955520).

221222133223000 is an abundant number, since it is smaller than the sum of its proper divisors (419608200688040).

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

221222133223000 is a wasteful number, since it uses less digits than its factorization.

221222133223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20764 (or 20750 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 221222133223000 its reverse (322331222122), we get a palindrome (221544464445122).

The spelling of 221222133223000 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred thirty-three million, two hundred twenty-three thousand".