12541132800000 has 1824 divisors, whose sum is σ = 53735978177280. Its totient is φ = 2866544640000.

The previous prime is 12541132799999. The next prime is 12541132800043. The reversal of 12541132800000 is 823114521.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (5!)³ ⋅ 2!.

12541132800000 is a `hidden beast` number, since 12 + 541 + 1 + 32 + 80 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 36000 × 10080 × 34560.

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 95 ways as a sum of consecutive naturals, for example, 1791590399997 + ... + 1791590400003.

Almost surely, 2^{12541132800000} is an apocalyptic number.

12541132800000 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 12541132800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26867989088640).

12541132800000 is an abundant number, since it is smaller than the sum of its proper divisors (41194845377280).

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

12541132800000 is an frugal number, since it uses more digits than its factorization.

12541132800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 12541132800000 its reverse (823114521), we get a palindrome (12541955914521).

The spelling of 12541132800000 in words is "twelve trillion, five hundred forty-one billion, one hundred thirty-two million, eight hundred thousand".