12000110112 has 144 divisors (see below), whose sum is σ = 34837770240. Its totient is φ = 3917362176.

The previous prime is 12000110081. The next prime is 12000110113. The reversal of 12000110112 is 21101100021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000110094 and 12000110103.

It is not an unprimeable number, because it can be changed into a prime (12000110113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2887428 + ... + 2891580.

It is an arithmetic number, because the mean of its divisors is an integer number (241928960).

Almost surely, 2^12000110112 is an apocalyptic number.

12000110112 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 12000110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418885120).

12000110112 is an abundant number, since it is smaller than the sum of its proper divisors (22837660128).

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

12000110112 is a wasteful number, since it uses less digits than its factorization.

12000110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000110112 its reverse (21101100021), we get a palindrome (33101210133).

The spelling of 12000110112 in words is "twelve billion, one hundred ten thousand, one hundred twelve".