112116000 has 96 divisors (see below), whose sum is σ = 367331328. Its totient is φ = 29894400.

The previous prime is 112115999. The next prime is 112116013. The reversal of 112116000 is 611211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 7329 + ... + 16671.

It is an arithmetic number, because the mean of its divisors is an integer number (3826368).

Almost surely, 2^112116000 is an apocalyptic number.

112116000 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 112116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183665664).

112116000 is an abundant number, since it is smaller than the sum of its proper divisors (255215328).

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

112116000 is an equidigital number, since it uses as much as digits as its factorization.

112116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371 (or 9353 counting only the distinct ones).

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

The square root of 112116000 is about 10588.4843107973. The cubic root of 112116000 is about 482.1948100003.

Adding to 112116000 its reverse (611211), we get a palindrome (112727211).

The spelling of 112116000 in words is "one hundred twelve million, one hundred sixteen thousand".