112114080 has 288 divisors, whose sum is σ = 423508176. Its totient is φ = 26836992.

The previous prime is 112114069. The next prime is 112114081. The reversal of 112114080 is 80411211.

It can be written as a sum of positive squares in 8 ways, for example, as 10265616 + 101848464 = 3204^2 + 10092^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112114081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992104 + ... + 992216.

Almost surely, 2^112114080 is an apocalyptic number.

112114080 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 112114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211754088).

112114080 is an abundant number, since it is smaller than the sum of its proper divisors (311394096).

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

112114080 is a wasteful number, since it uses less digits than its factorization.

112114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 112114080 is about 10588.3936458747. The cubic root of 112114080 is about 482.1920574366.

Adding to 112114080 its reverse (80411211), we get a palindrome (192525291).

The spelling of 112114080 in words is "one hundred twelve million, one hundred fourteen thousand, eighty".