12468306823120 has 40 divisors (see below), whose sum is σ = 28988971986600. Its totient is φ = 4987295439360.

The previous prime is 12468306823109. The next prime is 12468306823121. The reversal of 12468306823120 is 2132860386421.

It can be written as a sum of positive squares in 4 ways, for example, as 1494007511616 + 10974299311504 = 1222296^2 + 3312748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12468306823121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20927106 + ... + 21514654.

It is an arithmetic number, because the mean of its divisors is an integer number (724724299665).

Almost surely, 2^{12468306823120} is an apocalyptic number.

12468306823120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12468306823120 is an abundant number, since it is smaller than the sum of its proper divisors (16520665163480).

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

12468306823120 is a wasteful number, since it uses less digits than its factorization.

12468306823120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852823 (or 852817 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 12468306823120 in words is "twelve trillion, four hundred sixty-eight billion, three hundred six million, eight hundred twenty-three thousand, one hundred twenty".