110222112000000 has 5376 divisors, whose sum is σ = 522842907525120. Its totient is φ = 19906560000000.

The previous prime is 110222111999971. The next prime is 110222112000017. The reversal of 110222112000000 is 211222011.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 110222112000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2978975999982 + ... + 2978976000018.

It is an arithmetic number, because the mean of its divisors is an integer number (97255005120).

Almost surely, 2^{110222112000000} is an apocalyptic number.

110222112000000 is a gapful number since it is divisible by the number (10) 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 110222112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261421453762560).

110222112000000 is an abundant number, since it is smaller than the sum of its proper divisors (412620795525120).

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

110222112000000 is an equidigital number, since it uses as much as digits as its factorization.

110222112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110222112000000 its reverse (211222011), we get a palindrome (110222323222011).

The spelling of 110222112000000 in words is "one hundred ten trillion, two hundred twenty-two billion, one hundred twelve million", and thus it is an aban number.