12666730348800 has 1944 divisors, whose sum is σ = 51944104989504. Its totient is φ = 2919813120000.

The previous prime is 12666730348781. The next prime is 12666730348801. The reversal of 12666730348800 is 884303766621.

It is a super-2 number, since 2×12666730348800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12666730348801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 43231161454 + ... + 43231161746.

It is an arithmetic number, because the mean of its divisors is an integer number (26720218616).

Almost surely, 2^{12666730348800} is an apocalyptic number.

12666730348800 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 12666730348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25972052494752).

12666730348800 is an abundant number, since it is smaller than the sum of its proper divisors (39277374640704).

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

12666730348800 is a wasteful number, since it uses less digits than its factorization.

12666730348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 12666730348800 in words is "twelve trillion, six hundred sixty-six billion, seven hundred thirty million, three hundred forty-eight thousand, eight hundred".