12013036816 has 135 divisors (see below), whose sum is σ = 26641964293. Its totient is φ = 5243455360.

The previous prime is 12013036813. The next prime is 12013036829. The reversal of 12013036816 is 61863031021.

The square root of 12013036816 is 109604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8660163600 + 3352873216 = 93060^2 + 57904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12013036813) 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 26 ways as a sum of consecutive naturals, for example, 226661046 + ... + 226661098.

Almost surely, 2^12013036816 is an apocalyptic number.

12013036816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12013036816 is the 109604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013036816

12013036816 is an abundant number, since it is smaller than the sum of its proper divisors (14628927477).

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

12013036816 is an equidigital number, since it uses as much as digits as its factorization.

12013036816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 12013036816 by its product of nonzero digits (5184), we get a square (62275582854144 = 7891488²).

Adding to 12013036816 its reverse (61863031021), we get a palindrome (73876067837).

The spelling of 12013036816 in words is "twelve billion, thirteen million, thirty-six thousand, eight hundred sixteen".