13004112 has 60 divisors (see below), whose sum is σ = 36942080. Its totient is φ = 3938880.

The previous prime is 13004087. The next prime is 13004129. The reversal of 13004112 is 21140031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 4689 + ... + 6927.

Almost surely, 2^13004112 is an apocalyptic number.

13004112 is a gapful number since it is divisible by the number (12) 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 13004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18471040).

13004112 is an abundant number, since it is smaller than the sum of its proper divisors (23937968).

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

13004112 is a wasteful number, since it uses less digits than its factorization.

13004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2255 counting only the distinct ones).

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

The square root of 13004112 is about 3606.1214621807. The cubic root of 13004112 is about 235.1582576669.

Adding to 13004112 its reverse (21140031), we get a palindrome (34144143).

The spelling of 13004112 in words is "thirteen million, four thousand, one hundred twelve".