112411296 has 72 divisors (see below), whose sum is σ = 336510720. Its totient is φ = 35496576.

The previous prime is 112411289. The next prime is 112411297. The reversal of 112411296 is 692114211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112411297) 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 11 ways as a sum of consecutive naturals, for example, 4800 + ... + 15743.

It is an arithmetic number, because the mean of its divisors is an integer number (4673760).

Almost surely, 2^112411296 is an apocalyptic number.

112411296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112411296 is an abundant number, since it is smaller than the sum of its proper divisors (224099424).

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

112411296 is a wasteful number, since it uses less digits than its factorization.

112411296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20578 (or 20567 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 112411296 is about 10602.4193465454. The cubic root of 112411296 is about 482.6177807629.

The spelling of 112411296 in words is "one hundred twelve million, four hundred eleven thousand, two hundred ninety-six".