6002112 has 56 divisors (see below), whose sum is σ = 16272256. Its totient is φ = 1951488.

The previous prime is 6002111. The next prime is 6002123. The reversal of 6002112 is 2112006.

6002112 is digitally balanced in base 5, 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6002111) 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 7 ways as a sum of consecutive naturals, for example, 7893 + ... + 8619.

It is an arithmetic number, because the mean of its divisors is an integer number (290576).

Almost surely, 2^6002112 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 6002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136128).

6002112 is an abundant number, since it is smaller than the sum of its proper divisors (10270144).

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

6002112 is a wasteful number, since it uses less digits than its factorization.

6002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 6002112 is about 2449.9208150469. The cubic root of 6002112 is about 181.7333776637.

Adding to 6002112 its reverse (2112006), we get a palindrome (8114118).

The spelling of 6002112 in words is "six million, two thousand, one hundred twelve".