11121222112 has 288 divisors, whose sum is σ = 31317560064. Its totient is φ = 3761971200.

The previous prime is 11121222107. The next prime is 11121222173. The reversal of 11121222112 is 21122212111.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7078287 + ... + 7079857.

It is an arithmetic number, because the mean of its divisors is an integer number (108741528).

Almost surely, 2^11121222112 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 11121222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658780032).

11121222112 is an abundant number, since it is smaller than the sum of its proper divisors (20196337952).

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

11121222112 is a wasteful number, since it uses less digits than its factorization.

11121222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1621 counting only the distinct ones).

The product of its digits is 32, while the sum is 16.

Adding to 11121222112 its reverse (21122212111), we get a palindrome (32243434223).

The spelling of 11121222112 in words is "eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".