112116480 has 288 divisors, whose sum is σ = 423058944. Its totient is φ = 24772608.

The previous prime is 112116469. The next prime is 112116497. The reversal of 112116480 is 84611211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112116480.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1155792 + ... + 1155888.

Almost surely, 2^112116480 is an apocalyptic number.

112116480 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 112116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211529472).

112116480 is an abundant number, since it is smaller than the sum of its proper divisors (310942464).

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

112116480 is an equidigital number, since it uses as much as digits as its factorization.

112116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 112116480 is about 10588.5069769066. The cubic root of 112116480 is about 482.1954981364.

Adding to 112116480 its reverse (84611211), we get a palindrome (196727691).

The spelling of 112116480 in words is "one hundred twelve million, one hundred sixteen thousand, four hundred eighty".