110112120414 has 96 divisors (see below), whose sum is σ = 250710235776. Its totient is φ = 36217303200.

The previous prime is 110112120329. The next prime is 110112120449. The reversal of 110112120414 is 414021211011.

110112120414 is a `hidden beast` number, since 110 + 1 + 121 + 20 + 414 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15065749 + ... + 15073055.

It is an arithmetic number, because the mean of its divisors is an integer number (2611564956).

Almost surely, 2^110112120414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110112120414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125355117888).

110112120414 is an abundant number, since it is smaller than the sum of its proper divisors (140598115362).

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

110112120414 is a wasteful number, since it uses less digits than its factorization.

110112120414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110112120414 its reverse (414021211011), we get a palindrome (524133331425).

The spelling of 110112120414 in words is "one hundred ten billion, one hundred twelve million, one hundred twenty thousand, four hundred fourteen".