112271616 has 144 divisors (see below), whose sum is σ = 341756800. Its totient is φ = 36329472.

The previous prime is 112271611. The next prime is 112271633. The reversal of 112271616 is 616172211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 112271616.

It is not an unprimeable number, because it can be changed into a prime (112271611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255525 + ... + 255963.

Almost surely, 2^112271616 is an apocalyptic number.

112271616 is a gapful number since it is divisible by the number (16) 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 112271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170878400).

112271616 is an abundant number, since it is smaller than the sum of its proper divisors (229485184).

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

112271616 is an equidigital number, since it uses as much as digits as its factorization.

112271616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 112271616 is about 10595.8301232136. The cubic root of 112271616 is about 482.4178008827.

The spelling of 112271616 in words is "one hundred twelve million, two hundred seventy-one thousand, six hundred sixteen".