13002012 has 48 divisors (see below), whose sum is σ = 34003200. Its totient is φ = 4296240.

The previous prime is 13001993. The next prime is 13002019. The reversal of 13002012 is 21020031.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13001985 and 13002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002019) 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 15 ways as a sum of consecutive naturals, for example, 13689 + ... + 14607.

It is an arithmetic number, because the mean of its divisors is an integer number (708400).

Almost surely, 2^13002012 is an apocalyptic number.

13002012 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 13002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001600).

13002012 is an abundant number, since it is smaller than the sum of its proper divisors (21001188).

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

13002012 is a wasteful number, since it uses less digits than its factorization.

13002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13002012 is about 3605.8302788678. The cubic root of 13002012 is about 235.1455986217.

Adding to 13002012 its reverse (21020031), we get a palindrome (34022043).

The spelling of 13002012 in words is "thirteen million, two thousand, twelve".