112414880 has 96 divisors (see below), whose sum is σ = 289061136. Its totient is φ = 41140224.

The previous prime is 112414873. The next prime is 112414891. The reversal of 112414880 is 88414211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 58186384 + 54228496 = 7628^2 + 7364^2 .

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, 100082 + ... + 101198.

Almost surely, 2^112414880 is an apocalyptic number.

112414880 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 112414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144530568).

112414880 is an abundant number, since it is smaller than the sum of its proper divisors (176646256).

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

112414880 is a wasteful number, since it uses less digits than its factorization.

112414880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 112414880 is about 10602.5883632253. The cubic root of 112414880 is about 482.6229097959.

The spelling of 112414880 in words is "one hundred twelve million, four hundred fourteen thousand, eight hundred eighty".