110112111221112 has 1152 divisors, whose sum is σ = 428310265743360. Its totient is φ = 25089424496640.

The previous prime is 110112111221111. The next prime is 110112111221113. The reversal of 110112111221112 is 211122111211011.

110112111221112 is a `hidden beast` number, since 110 + 11 + 211 + 1 + 221 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (110112111221111) and next prime (110112111221113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112111221111) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 802597273 + ... + 802734455.

It is an arithmetic number, because the mean of its divisors is an integer number (371797105680).

Almost surely, 2^{110112111221112} is an apocalyptic number.

110112111221112 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 110112111221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214155132871680).

110112111221112 is an abundant number, since it is smaller than the sum of its proper divisors (318198154522248).

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

110112111221112 is a wasteful number, since it uses less digits than its factorization.

110112111221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137313 (or 137299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 110112111221112 its reverse (211122111211011), we get a palindrome (321234222432123).

It can be divided in two parts, 11011 and 2111221112, that multiplied together give a palindrome (23246655664232).

The spelling of 110112111221112 in words is "one hundred ten trillion, one hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twelve".