4001112 has 48 divisors (see below), whose sum is σ = 11026080. Its totient is φ = 1310400.

The previous prime is 4001111. The next prime is 4001117. The reversal of 4001112 is 2111004.

It is a happy number.

4001112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4001094 and 4001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3937 + ... + 4847.

It is an arithmetic number, because the mean of its divisors is an integer number (229710).

Almost surely, 2^4001112 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 4001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513040).

4001112 is an abundant number, since it is smaller than the sum of its proper divisors (7024968).

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

4001112 is a wasteful number, since it uses less digits than its factorization.

4001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 4001112 is about 2000.2779806817. The cubic root of 4001112 is about 158.7548137503.

Adding to 4001112 its reverse (2111004), we get a palindrome (6112116).

The spelling of 4001112 in words is "four million, one thousand, one hundred twelve".