112226805288 has 256 divisors, whose sum is σ = 343405440000. Its totient is φ = 33749913600.

The previous prime is 112226805269. The next prime is 112226805289. The reversal of 112226805288 is 882508622211.

112226805288 is a `hidden beast` number, since 1 + 1 + 22 + 26 + 80 + 528 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (112226805289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22402528 + ... + 22407536.

It is an arithmetic number, because the mean of its divisors is an integer number (1341427500).

Almost surely, 2^112226805288 is an apocalyptic number.

112226805288 is a gapful number since it is divisible by the number (18) 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 112226805288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171702720000).

112226805288 is an abundant number, since it is smaller than the sum of its proper divisors (231178634712).

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

112226805288 is a wasteful number, since it uses less digits than its factorization.

112226805288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 112226805288 in words is "one hundred twelve billion, two hundred twenty-six million, eight hundred five thousand, two hundred eighty-eight".