110011442112 has 588 divisors, whose sum is σ = 387699123000. Its totient is φ = 30751902720.

The previous prime is 110011442077. The next prime is 110011442143. The reversal of 110011442112 is 211244110011.

110011442112 is a `hidden beast` number, since 1 + 100 + 11 + 442 + 112 = 666.

110011442112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 73389139 + ... + 73390637.

It is an arithmetic number, because the mean of its divisors is an integer number (659352250).

Almost surely, 2^110011442112 is an apocalyptic number.

110011442112 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 110011442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193849561500).

110011442112 is an abundant number, since it is smaller than the sum of its proper divisors (277687680888).

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

110011442112 is a wasteful number, since it uses less digits than its factorization.

110011442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1528 counting only the distinct ones).

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

Adding to 110011442112 its reverse (211244110011), we get a palindrome (321255552123).

The spelling of 110011442112 in words is "one hundred ten billion, eleven million, four hundred forty-two thousand, one hundred twelve".