12736843200 has 252 divisors, whose sum is σ = 45418019400. Its totient is φ = 3385374720.

The previous prime is 12736843169. The next prime is 12736843237. The reversal of 12736843200 is 234863721.

It is a happy number.

12736843200 is a `hidden beast` number, since 1 + 273 + 68 + 4 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4995526 + ... + 4998074.

Almost surely, 2^12736843200 is an apocalyptic number.

12736843200 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 12736843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22709009700).

12736843200 is an abundant number, since it is smaller than the sum of its proper divisors (32681176200).

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

12736843200 is a wasteful number, since it uses less digits than its factorization.

12736843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12736843200 in words is "twelve billion, seven hundred thirty-six million, eight hundred forty-three thousand, two hundred".