12340256728608 has 144 divisors (see below), whose sum is σ = 38234158371360. Its totient is φ = 3871453012992.

The previous prime is 12340256728529. The next prime is 12340256728627. The reversal of 12340256728608 is 80682765204321.

12340256728608 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 0 + 2 + 5 + 6 + 7 + 28 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12340256728608² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 24460866 + ... + 24960257.

It is an arithmetic number, because the mean of its divisors is an integer number (265514988690).

Almost surely, 2^{12340256728608} is an apocalyptic number.

12340256728608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12340256728608 is an abundant number, since it is smaller than the sum of its proper divisors (25893901642752).

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

12340256728608 is a wasteful number, since it uses less digits than its factorization.

12340256728608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49421176 (or 49421145 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 12340256728608 in words is "twelve trillion, three hundred forty billion, two hundred fifty-six million, seven hundred twenty-eight thousand, six hundred eight".