12509204416000 has 80 divisors (see below), whose sum is σ = 31192483196160. Its totient is φ = 5003681740800.

The previous prime is 12509204415931. The next prime is 12509204416013. The reversal of 12509204416000 is 61440290521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 97664160 + ... + 97792159.

It is an arithmetic number, because the mean of its divisors is an integer number (389906039952).

Almost surely, 2^{12509204416000} is an apocalyptic number.

12509204416000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12509204416000 is an abundant number, since it is smaller than the sum of its proper divisors (18683278780160).

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

12509204416000 is an frugal number, since it uses more digits than its factorization.

12509204416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195456352 (or 195456326 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 12509204416000 in words is "twelve trillion, five hundred nine billion, two hundred four million, four hundred sixteen thousand".