2003006112 has 24 divisors (see below), whose sum is σ = 5257891296. Its totient is φ = 667668672.

The previous prime is 2003006107. The next prime is 2003006119. The reversal of 2003006112 is 2116003002.

2003006112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 2003006091 and 2003006100.

It is not an unprimeable number, because it can be changed into a prime (2003006119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10432228 + ... + 10432419.

It is an arithmetic number, because the mean of its divisors is an integer number (219078804).

Almost surely, 2^2003006112 is an apocalyptic number.

It is an amenable number.

2003006112 is an abundant number, since it is smaller than the sum of its proper divisors (3254885184).

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

2003006112 is a wasteful number, since it uses less digits than its factorization.

2003006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20864660 (or 20864652 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2003006112 is about 44754.9562841927. The cubic root of 2003006112 is about 1260.5519778582.

Adding to 2003006112 its reverse (2116003002), we get a palindrome (4119009114).

The spelling of 2003006112 in words is "two billion, three million, six thousand, one hundred twelve".