22221311112 has 576 divisors, whose sum is σ = 83574840960. Its totient is φ = 5175705600.

The previous prime is 22221311093. The next prime is 22221311131. The reversal of 22221311112 is 21111312222.

22221311112 is a `hidden beast` number, since 22 + 221 + 311 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (22221311093) and next prime (22221311131).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34666312 + ... + 34666952.

It is an arithmetic number, because the mean of its divisors is an integer number (145095210).

Almost surely, 2^22221311112 is an apocalyptic number.

22221311112 is a gapful number since it is divisible by the number (22) 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 22221311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41787420480).

22221311112 is an abundant number, since it is smaller than the sum of its proper divisors (61353529848).

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

22221311112 is a wasteful number, since it uses less digits than its factorization.

22221311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 714 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 22221311112 its reverse (21111312222), we get a palindrome (43332623334).

It can be divided in two parts, 22221 and 311112, that added together give a palindrome (333333).

The spelling of 22221311112 in words is "twenty-two billion, two hundred twenty-one million, three hundred eleven thousand, one hundred twelve".