110222120000112 has 160 divisors (see below), whose sum is σ = 288257919645696. Its totient is φ = 36288783820800.

The previous prime is 110222120000087. The next prime is 110222120000141. The reversal of 110222120000112 is 211000021222011.

It is a junction number, because it is equal to n+sod(n) for n = 110222120000091 and 110222120000100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5745813273 + ... + 5745832455.

Almost surely, 2^{110222120000112} is an apocalyptic number.

110222120000112 is a gapful number since it is divisible by the number (12) 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 110222120000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144128959822848).

110222120000112 is an abundant number, since it is smaller than the sum of its proper divisors (178035799645584).

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

110222120000112 is a wasteful number, since it uses less digits than its factorization.

110222120000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22279 (or 22273 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110222120000112 its reverse (211000021222011), we get a palindrome (321222141222123).

The spelling of 110222120000112 in words is "one hundred ten trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twelve", and thus it is an aban number.