12541300200 has 768 divisors, whose sum is σ = 51559200000. Its totient is φ = 2762035200.

The previous prime is 12541300157. The next prime is 12541300217. The reversal of 12541300200 is 200314521.

12541300200 is a `hidden beast` number, since 125 + 41 + 300 + 200 = 666.

12541300200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84169726 + ... + 84169874.

It is an arithmetic number, because the mean of its divisors is an integer number (67134375).

Almost surely, 2^12541300200 is an apocalyptic number.

12541300200 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 12541300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600000).

12541300200 is an abundant number, since it is smaller than the sum of its proper divisors (39017899800).

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

12541300200 is a wasteful number, since it uses less digits than its factorization.

12541300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12541300200 its reverse (200314521), we get a palindrome (12741614721).

The spelling of 12541300200 in words is "twelve billion, five hundred forty-one million, three hundred thousand, two hundred".