112024000 has 224 divisors, whose sum is σ = 323331840. Its totient is φ = 38016000.

The previous prime is 112023997. The next prime is 112024009. The reversal of 112024000 is 420211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112024009) by changing a digit.

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, 1671967 + ... + 1672033.

Almost surely, 2^112024000 is an apocalyptic number.

112024000 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 112024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161665920).

112024000 is an abundant number, since it is smaller than the sum of its proper divisors (211307840).

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

112024000 is a wasteful number, since it uses less digits than its factorization.

112024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 112024000 is about 10584.1390769396. The cubic root of 112024000 is about 482.0628809798.

Adding to 112024000 its reverse (420211), we get a palindrome (112444211).

The spelling of 112024000 in words is "one hundred twelve million, twenty-four thousand".