12000204985600 has 216 divisors, whose sum is σ = 32000644249560. Its totient is φ = 4428980060160.

The previous prime is 12000204985591. The next prime is 12000204985609. The reversal of 12000204985600 is 658940200021.

It is an interprime number because it is at equal distance from previous prime (12000204985591) and next prime (12000204985609).

It can be written as a sum of positive squares in 12 ways, for example, as 4320478187776 + 7679726797824 = 2078576^2 + 2771232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12000204985600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000204985609) 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, 206057286 + ... + 206115514.

It is an arithmetic number, because the mean of its divisors is an integer number (148151130785).

Almost surely, 2^{12000204985600} is an apocalyptic number.

12000204985600 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 12000204985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000322124780).

12000204985600 is an abundant number, since it is smaller than the sum of its proper divisors (20000439263960).

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

12000204985600 is a wasteful number, since it uses less digits than its factorization.

12000204985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60745 (or 60726 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 12000204985600 in words is "twelve trillion, two hundred four million, nine hundred eighty-five thousand, six hundred".