221222320000000 has 1408 divisors, whose sum is σ = 645954783851520. Its totient is φ = 74880000000000.

The previous prime is 221222319999991. The next prime is 221222320000063. The reversal of 221222320000000 is 23222122.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1688719999935 + ... + 1688720000065.

It is an arithmetic number, because the mean of its divisors is an integer number (458774704440).

Almost surely, 2^{221222320000000} is an apocalyptic number.

221222320000000 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 221222320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322977391925760).

221222320000000 is an abundant number, since it is smaller than the sum of its proper divisors (424732463851520).

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

221222320000000 is an equidigital number, since it uses as much as digits as its factorization.

221222320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 221222320000000 its reverse (23222122), we get a palindrome (221222343222122).

The spelling of 221222320000000 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, three hundred twenty million", and thus it is an aban number.