112671216 has 320 divisors, whose sum is σ = 407116800. Its totient is φ = 29113344.

The previous prime is 112671211. The next prime is 112671259. The reversal of 112671216 is 612176211.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112671216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112671211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2125846 + ... + 2125898.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^112671216 is an apocalyptic number.

112671216 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 112671216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

112671216 is an abundant number, since it is smaller than the sum of its proper divisors (294445584).

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

112671216 is a wasteful number, since it uses less digits than its factorization.

112671216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

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

The square root of 112671216 is about 10614.6698488460. The cubic root of 112671216 is about 482.9894677693.

The spelling of 112671216 in words is "one hundred twelve million, six hundred seventy-one thousand, two hundred sixteen".