12729182200 has 96 divisors (see below), whose sum is σ = 33851583360. Its totient is φ = 4360636800.

The previous prime is 12729182177. The next prime is 12729182201. The reversal of 12729182200 is 228192721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12729182201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2073135 + ... + 2079265.

It is an arithmetic number, because the mean of its divisors is an integer number (352620660).

Almost surely, 2^12729182200 is an apocalyptic number.

12729182200 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 12729182200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925791680).

12729182200 is an abundant number, since it is smaller than the sum of its proper divisors (21122401160).

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

12729182200 is a wasteful number, since it uses less digits than its factorization.

12729182200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 12729182200 in words is "twelve billion, seven hundred twenty-nine million, one hundred eighty-two thousand, two hundred".