221220112222200 has 768 divisors, whose sum is σ = 890964224640000. Its totient is φ = 45065513687040.

The previous prime is 221220112222169. The next prime is 221220112222217. The reversal of 221220112222200 is 2222211022122.

221220112222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76160967 + ... + 79012233.

It is an arithmetic number, because the mean of its divisors is an integer number (1160109667500).

Almost surely, 2^{221220112222200} is an apocalyptic number.

221220112222200 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 221220112222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445482112320000).

221220112222200 is an abundant number, since it is smaller than the sum of its proper divisors (669744112417800).

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

221220112222200 is a wasteful number, since it uses less digits than its factorization.

221220112222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851349 (or 2851326 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221220112222200 its reverse (2222211022122), we get a palindrome (223442323244322).

The spelling of 221220112222200 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twelve million, two hundred twenty-two thousand, two hundred".