112344441012 has 72 divisors (see below), whose sum is σ = 289629194400. Its totient is φ = 36707101248.

The previous prime is 112344441007. The next prime is 112344441019. The reversal of 112344441012 is 210144443211.

112344441012 is a `hidden beast` number, since 1 + 1 + 234 + 4 + 4 + 410 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112344441019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660814 + ... + 813242.

It is an arithmetic number, because the mean of its divisors is an integer number (4022627700).

Almost surely, 2^112344441012 is an apocalyptic number.

112344441012 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 112344441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144814597200).

112344441012 is an abundant number, since it is smaller than the sum of its proper divisors (177284753388).

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

112344441012 is a wasteful number, since it uses less digits than its factorization.

112344441012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152845 (or 152840 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 112344441012 its reverse (210144443211), we get a palindrome (322488884223).

The spelling of 112344441012 in words is "one hundred twelve billion, three hundred forty-four million, four hundred forty-one thousand, twelve".