112344000 has 224 divisors, whose sum is σ = 385462272. Its totient is φ = 28800000.

The previous prime is 112343971. The next prime is 112344013. The reversal of 112344000 is 443211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743925 + ... + 744075.

Almost surely, 2^112344000 is an apocalyptic number.

112344000 is a gapful number since it is divisible by the number (10) 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 112344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192731136).

112344000 is an abundant number, since it is smaller than the sum of its proper divisors (273118272).

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

112344000 is a wasteful number, since it uses less digits than its factorization.

112344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 112344000 is about 10599.2452561491. The cubic root of 112344000 is about 482.5214537607.

Adding to 112344000 its reverse (443211), we get a palindrome (112787211).

The spelling of 112344000 in words is "one hundred twelve million, three hundred forty-four thousand".