110012012012112 has 480 divisors, whose sum is σ = 339217860096000. Its totient is φ = 30626076450816.

The previous prime is 110012012012053. The next prime is 110012012012117. The reversal of 110012012012112 is 211210210210011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110012012012091 and 110012012012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110012012012117) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3961099858 + ... + 3961127630.

It is an arithmetic number, because the mean of its divisors is an integer number (706703875200).

Almost surely, 2^{110012012012112} is an apocalyptic number.

110012012012112 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 110012012012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169608930048000).

110012012012112 is an abundant number, since it is smaller than the sum of its proper divisors (229205848083888).

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

110012012012112 is a wasteful number, since it uses less digits than its factorization.

110012012012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28163 (or 28150 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110012012012112 its reverse (211210210210011), we get a palindrome (321222222222123).

The spelling of 110012012012112 in words is "one hundred ten trillion, twelve billion, twelve million, twelve thousand, one hundred twelve".