112120008 has 192 divisors, whose sum is σ = 379468800. Its totient is φ = 26807040.

The previous prime is 112119979. The next prime is 112120031. The reversal of 112120008 is 800021211.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 312133 + ... + 312491.

It is an arithmetic number, because the mean of its divisors is an integer number (1976400).

Almost surely, 2^112120008 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 112120008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189734400).

112120008 is an abundant number, since it is smaller than the sum of its proper divisors (267348792).

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

112120008 is a wasteful number, since it uses less digits than its factorization.

112120008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 112120008 is about 10588.6735713214. The cubic root of 112120008 is about 482.2005558759.

Adding to 112120008 its reverse (800021211), we get a palindrome (912141219).

The spelling of 112120008 in words is "one hundred twelve million, one hundred twenty thousand, eight".