112193424 has 200 divisors, whose sum is σ = 378100800. Its totient is φ = 31456512.

The previous prime is 112193413. The next prime is 112193449. The reversal of 112193424 is 424391211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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 39 ways as a sum of consecutive naturals, for example, 752902 + ... + 753050.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^112193424 is an apocalyptic number.

112193424 is a gapful number since it is divisible by the number (14) 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 112193424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

112193424 is an abundant number, since it is smaller than the sum of its proper divisors (265907376).

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

112193424 is a wasteful number, since it uses less digits than its factorization.

112193424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 112193424 is about 10592.1397271751. The cubic root of 112193424 is about 482.3057809604.

The spelling of 112193424 in words is "one hundred twelve million, one hundred ninety-three thousand, four hundred twenty-four".