112424 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 48576.

The previous prime is 112403. The next prime is 112429. The reversal of 112424 is 424211.

112424 = T₁₉ + T₂₀ + ... + T₈₇.

It is a super-3 number, since 3×112424³ = 4262833346883072, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 112399 and 112408.

It is not an unprimeable number, because it can be changed into a prime (112429) by changing a digit.

112424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2369 + ... + 2415.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹¹²⁴²⁴ 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 112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

112424 is an abundant number, since it is smaller than the sum of its proper divisors (129496).

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

112424 is a wasteful number, since it uses less digits than its factorization.

112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 112424 is about 335.2968833735. The cubic root of 112424 is about 48.2635960861.

Adding to 112424 its reverse (424211), we get a palindrome (536635).

The spelling of 112424 in words is "one hundred twelve thousand, four hundred twenty-four", and thus it is an iban number.