12691363200 has 384 divisors, whose sum is σ = 43984684800. Its totient is φ = 3210240000.

The previous prime is 12691363151. The next prime is 12691363207. The reversal of 12691363200 is 236319621.

12691363200 is digitally balanced in base 2, 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 (384).

It is a super-2 number, since 2×12691363200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12691363207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50563075 + ... + 50563325.

It is an arithmetic number, because the mean of its divisors is an integer number (114543450).

Almost surely, 2^12691363200 is an apocalyptic number.

12691363200 is a gapful number since it is divisible by the number (10) 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 12691363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21992342400).

12691363200 is an abundant number, since it is smaller than the sum of its proper divisors (31293321600).

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

12691363200 is a wasteful number, since it uses less digits than its factorization.

12691363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 12691363200 in words is "twelve billion, six hundred ninety-one million, three hundred sixty-three thousand, two hundred".