12468306121680 has 320 divisors, whose sum is σ = 41745131569152. Its totient is φ = 3069463541760.

The previous prime is 12468306121679. The next prime is 12468306121681. The reversal of 12468306121680 is 8612160386421.

It is an interprime number because it is at equal distance from previous prime (12468306121679) and next prime (12468306121681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12468306121681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63730089 + ... + 63925431.

Almost surely, 2^{12468306121680} is an apocalyptic number.

12468306121680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12468306121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20872565784576).

12468306121680 is an abundant number, since it is smaller than the sum of its proper divisors (29276825447472).

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

12468306121680 is a wasteful number, since it uses less digits than its factorization.

12468306121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195786 (or 195780 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 12468306121680 in words is "twelve trillion, four hundred sixty-eight billion, three hundred six million, one hundred twenty-one thousand, six hundred eighty".