22111122122112 has 128 divisors (see below), whose sum is σ = 61299638104320. Its totient is φ = 7048384358400.

The previous prime is 22111122122083. The next prime is 22111122122113. The reversal of 22111122122112 is 21122122111122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111122122113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40541787 + ... + 41083557.

It is an arithmetic number, because the mean of its divisors is an integer number (478903422690).

Almost surely, 2^{22111122122112} 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 22111122122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30649819052160).

22111122122112 is an abundant number, since it is smaller than the sum of its proper divisors (39188515982208).

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

22111122122112 is a wasteful number, since it uses less digits than its factorization.

22111122122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546432 (or 546420 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

Adding to 22111122122112 its reverse (21122122111122), we get a palindrome (43233244233234).

The spelling of 22111122122112 in words is "twenty-two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".