12191713141728 has 96 divisors (see below), whose sum is σ = 33595535877120. Its totient is φ = 3866152826880.

The previous prime is 12191713141691. The next prime is 12191713141841. The reversal of 12191713141728 is 82714131719121.

12191713141728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34542025 + ... + 34893192.

It is an arithmetic number, because the mean of its divisors is an integer number (349953498720).

Almost surely, 2^{12191713141728} is an apocalyptic number.

It is an amenable number.

12191713141728 is an abundant number, since it is smaller than the sum of its proper divisors (21403822735392).

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

12191713141728 is a wasteful number, since it uses less digits than its factorization.

12191713141728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69435320 (or 69435312 counting only the distinct ones).

The product of its digits is 169344, while the sum is 48.

The spelling of 12191713141728 in words is "twelve trillion, one hundred ninety-one billion, seven hundred thirteen million, one hundred forty-one thousand, seven hundred twenty-eight".