221222110031320 has 256 divisors, whose sum is σ = 532258939555200. Its totient is φ = 82462562058240.

The previous prime is 221222110031261. The next prime is 221222110031387. The reversal of 221222110031320 is 23130011222122.

It is a junction number, because it is equal to n+sod(n) for n = 221222110031291 and 221222110031300.

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 63 ways as a sum of consecutive naturals, for example, 20599874511 + ... + 20599885249.

Almost surely, 2^{221222110031320} is an apocalyptic number.

221222110031320 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 221222110031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266129469777600).

221222110031320 is an abundant number, since it is smaller than the sum of its proper divisors (311036829523880).

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

221222110031320 is a wasteful number, since it uses less digits than its factorization.

221222110031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11718 (or 11714 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 221222110031320 its reverse (23130011222122), we get a palindrome (244352121253442).

The spelling of 221222110031320 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred ten million, thirty-one thousand, three hundred twenty".