12733671172200 has 384 divisors, whose sum is σ = 44892280995840. Its totient is φ = 2957788800000.

The previous prime is 12733671172181. The next prime is 12733671172207. The reversal of 12733671172200 is 227117633721.

It is not an unprimeable number, because it can be changed into a prime (12733671172207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20356497 + ... + 20972703.

It is an arithmetic number, because the mean of its divisors is an integer number (116906981760).

Almost surely, 2^{12733671172200} is an apocalyptic number.

12733671172200 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 12733671172200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22446140497920).

12733671172200 is an abundant number, since it is smaller than the sum of its proper divisors (32158609823640).

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

12733671172200 is a wasteful number, since it uses less digits than its factorization.

12733671172200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616369 (or 616360 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 12733671172200 in words is "twelve trillion, seven hundred thirty-three billion, six hundred seventy-one million, one hundred seventy-two thousand, two hundred".