221112111111112 has 96 divisors (see below), whose sum is σ = 455295890494080. Its totient is φ = 100604804751360.

The previous prime is 221112111111083. The next prime is 221112111111113. The reversal of 221112111111112 is 211111111211122.

221112111111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221112111111112.

It is not an unprimeable number, because it can be changed into a prime (221112111111113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060319368 + ... + 1060527880.

It is an arithmetic number, because the mean of its divisors is an integer number (4742665525980).

Almost surely, 2^{221112111111112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221112111111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227647945247040).

221112111111112 is an abundant number, since it is smaller than the sum of its proper divisors (234183779382968).

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

221112111111112 is a wasteful number, since it uses less digits than its factorization.

221112111111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219663 (or 219646 counting only the distinct ones).

The product of its digits is 16, while the sum is 19.

Adding to 221112111111112 its reverse (211111111211122), we get a palindrome (432223222322234).

The spelling of 221112111111112 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".