112404 has 48 divisors (see below), whose sum is σ = 302400. Its totient is φ = 32256.

The previous prime is 112403. The next prime is 112429. The reversal of 112404 is 404211.

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

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 112404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3862 + ... + 3890.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹¹²⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

112404 is an abundant number, since it is smaller than the sum of its proper divisors (189996).

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

112404 is a wasteful number, since it uses less digits than its factorization.

112404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

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

The square root of 112404 is about 335.2670577316. The cubic root of 112404 is about 48.2607339180.

Adding to 112404 its reverse (404211), we get a palindrome (516615).

It can be divided in two parts, 11 and 2404, that added together give a triangular number (2415 = T₆₉).

The spelling of 112404 in words is "one hundred twelve thousand, four hundred four", and thus it is an iban number.