12268713003840 has 168 divisors, whose sum is σ = 43762196630880. Its totient is φ = 3271656780288.

The previous prime is 12268713003839. The next prime is 12268713003851. The reversal of 12268713003840 is 4830031786221.

12268713003840 is a `hidden beast` number, since 1 + 2 + 268 + 7 + 1 + 3 + 0 + 0 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 78810570 + ... + 78966089.

It is an arithmetic number, because the mean of its divisors is an integer number (260489265660).

Almost surely, 2^{12268713003840} is an apocalyptic number.

12268713003840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12268713003840 is an abundant number, since it is smaller than the sum of its proper divisors (31493483627040).

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

12268713003840 is an equidigital number, since it uses as much as digits as its factorization.

12268713003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157776691 (or 157776669 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12268713003840 in words is "twelve trillion, two hundred sixty-eight billion, seven hundred thirteen million, three thousand, eight hundred forty".