12526845124200 has 768 divisors, whose sum is σ = 46889570304000. Its totient is φ = 2730903552000.

The previous prime is 12526845124159. The next prime is 12526845124201. The reversal of 12526845124200 is 242154862521.

It is not an unprimeable number, because it can be changed into a prime (12526845124201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274755006 + ... + 274800594.

It is an arithmetic number, because the mean of its divisors is an integer number (61054128000).

Almost surely, 2^{12526845124200} is an apocalyptic number.

12526845124200 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 12526845124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23444785152000).

12526845124200 is an abundant number, since it is smaller than the sum of its proper divisors (34362725179800).

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

12526845124200 is a wasteful number, since it uses less digits than its factorization.

12526845124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45746 (or 45737 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

Adding to 12526845124200 its reverse (242154862521), we get a palindrome (12768999986721).

The spelling of 12526845124200 in words is "twelve trillion, five hundred twenty-six billion, eight hundred forty-five million, one hundred twenty-four thousand, two hundred".