112127968 has 48 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 52811136.

The previous prime is 112127933. The next prime is 112127993. The reversal of 112127968 is 869721211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135171 + ... + 135997.

It is an arithmetic number, because the mean of its divisors is an integer number (4868640).

Almost surely, 2^112127968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112127968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

112127968 is an abundant number, since it is smaller than the sum of its proper divisors (121566752).

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

112127968 is a wasteful number, since it uses less digits than its factorization.

112127968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its digits is 12096, while the sum is 37.

The square root of 112127968 is about 10589.0494379807. The cubic root of 112127968 is about 482.2119669394.

The spelling of 112127968 in words is "one hundred twelve million, one hundred twenty-seven thousand, nine hundred sixty-eight".