112008 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 34368.

The previous prime is 111997. The next prime is 112019. The reversal of 112008 is 800211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111997) and next prime (112019).

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

It is a junction number, because it is equal to n+sod(n) for n = 111984 and 112002.

It is an unprimeable number.

112008 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, 133 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹¹²⁰⁰⁸ 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 112008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

112008 is an abundant number, since it is smaller than the sum of its proper divisors (190392).

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

112008 is a wasteful number, since it uses less digits than its factorization.

112008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112008 is about 334.6759626863. The cubic root of 112008 is about 48.2039929430.

Adding to 112008 its reverse (800211), we get a palindrome (912219).

The spelling of 112008 in words is "one hundred twelve thousand, eight".