12736213200 has 540 divisors, whose sum is σ = 48118238688. Its totient is φ = 3233260800.

The previous prime is 12736213183. The next prime is 12736213213. The reversal of 12736213200 is 231263721.

12736213200 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 621 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×12736213200² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60361095 + ... + 60361305.

Almost surely, 2^12736213200 is an apocalyptic number.

12736213200 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 12736213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24059119344).

12736213200 is an abundant number, since it is smaller than the sum of its proper divisors (35382025488).

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

12736213200 is an equidigital number, since it uses as much as digits as its factorization.

12736213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

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

Adding to 12736213200 its reverse (231263721), we get a palindrome (12967476921).

The spelling of 12736213200 in words is "twelve billion, seven hundred thirty-six million, two hundred thirteen thousand, two hundred".