12885765818200 has 192 divisors, whose sum is σ = 34627212288000. Its totient is φ = 4407336806400.

The previous prime is 12885765818137. The next prime is 12885765818203. The reversal of 12885765818200 is 281856758821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12885765818203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59994601 + ... + 60208999.

It is an arithmetic number, because the mean of its divisors is an integer number (180350064000).

Almost surely, 2^{12885765818200} is an apocalyptic number.

12885765818200 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 12885765818200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17313606144000).

12885765818200 is an abundant number, since it is smaller than the sum of its proper divisors (21741446469800).

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

12885765818200 is a wasteful number, since it uses less digits than its factorization.

12885765818200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216050 (or 216041 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 61.

The spelling of 12885765818200 in words is "twelve trillion, eight hundred eighty-five billion, seven hundred sixty-five million, eight hundred eighteen thousand, two hundred".