12581350200 has 288 divisors, whose sum is σ = 43608146400. Its totient is φ = 3248640000.

The previous prime is 12581350189. The next prime is 12581350207. The reversal of 12581350200 is 205318521.

It is a happy number.

12581350200 is a `hidden beast` number, since 12 + 581 + 3 + 50 + 20 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12581350207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11143236 + ... + 11144364.

It is an arithmetic number, because the mean of its divisors is an integer number (151417175).

Almost surely, 2^12581350200 is an apocalyptic number.

12581350200 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 12581350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21804073200).

12581350200 is an abundant number, since it is smaller than the sum of its proper divisors (31026796200).

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

12581350200 is a wasteful number, since it uses less digits than its factorization.

12581350200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 12581350200 its reverse (205318521), we get a palindrome (12786668721).

The spelling of 12581350200 in words is "twelve billion, five hundred eighty-one million, three hundred fifty thousand, two hundred".