12736000200 has 576 divisors, whose sum is σ = 52246656000. Its totient is φ = 2505254400.

The previous prime is 12736000171. The next prime is 12736000213. The reversal of 12736000200 is 200063721.

It is a happy number.

12736000200 is a nontrivial binomial coefficient, being equal to C(159600, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9655141 + ... + 9656459.

It is an arithmetic number, because the mean of its divisors is an integer number (90706000).

Almost surely, 2^12736000200 is an apocalyptic number.

12736000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12736000200 is the 159599-th triangular number and also the 79800-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12736000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26123328000).

12736000200 is an abundant number, since it is smaller than the sum of its proper divisors (39510655800).

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

12736000200 is a wasteful number, since it uses less digits than its factorization.

12736000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 12736000200 its reverse (200063721), we get a palindrome (12936063921).

The spelling of 12736000200 in words is "twelve billion, seven hundred thirty-six million, two hundred", and thus it is an aban number.