12541132800 has 768 divisors, whose sum is σ = 53308790400. Its totient is φ = 2866544640.

The previous prime is 12541132777. The next prime is 12541132817. The reversal of 12541132800 is 823114521.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (4!)² ⋅ 3!.

12541132800 is a `hidden beast` number, since 12 + 541 + 1 + 32 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a compositorial, being equal to the product of composites up to 18.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3600 × 1008 × 3456.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1791590397 + ... + 1791590403.

Almost surely, 2^12541132800 is an apocalyptic number.

12541132800 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 12541132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26654395200).

12541132800 is an abundant number, since it is smaller than the sum of its proper divisors (40767657600).

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

12541132800 is an frugal number, since it uses more digits than its factorization.

12541132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

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

The spelling of 12541132800 in words is "twelve billion, five hundred forty-one million, one hundred thirty-two thousand, eight hundred".