12726331200 has 840 divisors, whose sum is σ = 52134698880. Its totient is φ = 3019161600.

The previous prime is 12726331199. The next prime is 12726331201. The reversal of 12726331200 is 213362721.

12726331200 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 633 + 1 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12726331199) and next prime (12726331201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12726331201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112622344 + ... + 112622456.

Almost surely, 2^12726331200 is an apocalyptic number.

12726331200 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 12726331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26067349440).

12726331200 is an abundant number, since it is smaller than the sum of its proper divisors (39408367680).

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

12726331200 is a wasteful number, since it uses less digits than its factorization.

12726331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 12726331200 its reverse (213362721), we get a palindrome (12939693921).

The spelling of 12726331200 in words is "twelve billion, seven hundred twenty-six million, three hundred thirty-one thousand, two hundred".