112404000 has 384 divisors, whose sum is σ = 424569600. Its totient is φ = 25804800.

The previous prime is 112403999. The next prime is 112404023. The reversal of 112404000 is 404211.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3875986 + ... + 3876014.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^112404000 is an apocalyptic number.

112404000 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 112404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

112404000 is an abundant number, since it is smaller than the sum of its proper divisors (312165600).

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

112404000 is a wasteful number, since it uses less digits than its factorization.

112404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

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

The square root of 112404000 is about 10602.0752685500. The cubic root of 112404000 is about 482.6073391803.

Adding to 112404000 its reverse (404211), we get a palindrome (112808211).

The spelling of 112404000 in words is "one hundred twelve million, four hundred four thousand".