112224000 has 288 divisors, whose sum is σ = 428553216. Its totient is φ = 25497600.

The previous prime is 112223971. The next prime is 112224001. The reversal of 112224000 is 422211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112224001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671917 + ... + 672083.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^112224000 is an apocalyptic number.

112224000 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 112224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214276608).

112224000 is an abundant number, since it is smaller than the sum of its proper divisors (316329216).

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

112224000 is an equidigital number, since it uses as much as digits as its factorization.

112224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 112224000 is about 10593.5829632849. The cubic root of 112224000 is about 482.3495911398.

Adding to 112224000 its reverse (422211), we get a palindrome (112646211).

The spelling of 112224000 in words is "one hundred twelve million, two hundred twenty-four thousand".