12000009224800 has 72 divisors (see below), whose sum is σ = 29446810580376. Its totient is φ = 4775133143040.

The previous prime is 12000009224783. The next prime is 12000009224849. The reversal of 12000009224800 is 842290000021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38705734 + ... + 39014533.

It is an arithmetic number, because the mean of its divisors is an integer number (408983480283).

Almost surely, 2^{12000009224800} is an apocalyptic number.

12000009224800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000009224800 is an abundant number, since it is smaller than the sum of its proper divisors (17446801355576).

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

12000009224800 is a wasteful number, since it uses less digits than its factorization.

12000009224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77720480 (or 77720467 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 12000009224800 its reverse (842290000021), we get a palindrome (12842299224821).

The spelling of 12000009224800 in words is "twelve trillion, nine million, two hundred twenty-four thousand, eight hundred".