4127112 has 96 divisors (see below), whose sum is σ = 12710880. Its totient is φ = 1244160.

The previous prime is 4127111. The next prime is 4127131. The reversal of 4127112 is 2117214.

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

It is not an unprimeable number, because it can be changed into a prime (4127111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21288 + ... + 21480.

It is an arithmetic number, because the mean of its divisors is an integer number (132405).

Almost surely, 2^4127112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355440).

4127112 is an abundant number, since it is smaller than the sum of its proper divisors (8583768).

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

4127112 is a wasteful number, since it uses less digits than its factorization.

4127112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 4127112 is about 2031.5294730818. The cubic root of 4127112 is about 160.4040827894.

The spelling of 4127112 in words is "four million, one hundred twenty-seven thousand, one hundred twelve".