110111222120000 has 1120 divisors, whose sum is σ = 309553327226880. Its totient is φ = 38647065600000.

The previous prime is 110111222119967. The next prime is 110111222120033. The reversal of 110111222120000 is 21222111011.

It is an interprime number because it is at equal distance from previous prime (110111222119967) and next prime (110111222120033).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82977559337 + ... + 82977560663.

Almost surely, 2^{110111222120000} is an apocalyptic number.

110111222120000 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 110111222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154776663613440).

110111222120000 is an abundant number, since it is smaller than the sum of its proper divisors (199442105106880).

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

110111222120000 is a wasteful number, since it uses less digits than its factorization.

110111222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110111222120000 its reverse (21222111011), we get a palindrome (110132444231011).

The spelling of 110111222120000 in words is "one hundred ten trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty thousand".