112121110222112 has 96 divisors (see below), whose sum is σ = 228893798548800. Its totient is φ = 54025971793920.

The previous prime is 112121110222111. The next prime is 112121110222123. The reversal of 112121110222112 is 211222011121211.

It is a happy number.

It is a super-2 number, since 2×112121110222112² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121110222111) 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, 86267264 + ... + 87557312.

It is an arithmetic number, because the mean of its divisors is an integer number (2384310401550).

Almost surely, 2^{112121110222112} 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 112121110222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114446899274400).

112121110222112 is an abundant number, since it is smaller than the sum of its proper divisors (116772688326688).

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

112121110222112 is a wasteful number, since it uses less digits than its factorization.

112121110222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290946 (or 1290938 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112121110222112 its reverse (211222011121211), we get a palindrome (323343121343323).

The spelling of 112121110222112 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-two thousand, one hundred twelve".