112240688736 has 192 divisors, whose sum is σ = 331310601216. Its totient is φ = 32972083200.

The previous prime is 112240688731. The next prime is 112240688783. The reversal of 112240688736 is 637886042211.

112240688736 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112240688731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10974121 + ... + 10984343.

It is an arithmetic number, because the mean of its divisors is an integer number (1725576048).

Almost surely, 2^112240688736 is an apocalyptic number.

112240688736 is a gapful number since it is divisible by the number (16) 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 112240688736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165655300608).

112240688736 is an abundant number, since it is smaller than the sum of its proper divisors (219069912480).

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

112240688736 is a wasteful number, since it uses less digits than its factorization.

112240688736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 112240688736 in words is "one hundred twelve billion, two hundred forty million, six hundred eighty-eight thousand, seven hundred thirty-six".