12681191779200 has 1536 divisors, whose sum is σ = 56856625228800. Its totient is φ = 2727875543040.

The previous prime is 12681191779141. The next prime is 12681191779213. The reversal of 12681191779200 is 297719118621.

12681191779200 is a `hidden beast` number, since 1 + 268 + 1 + 1 + 9 + 177 + 9 + 200 = 666.

It is a super-3 number, since 3×12681191779200³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 832801987 + ... + 832817213.

It is an arithmetic number, because the mean of its divisors is an integer number (37016032050).

Almost surely, 2^{12681191779200} is an apocalyptic number.

12681191779200 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 12681191779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28428312614400).

12681191779200 is an abundant number, since it is smaller than the sum of its proper divisors (44175433449600).

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

12681191779200 is an equidigital number, since it uses as much as digits as its factorization.

12681191779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15296 (or 15261 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 12681191779200 in words is "twelve trillion, six hundred eighty-one billion, one hundred ninety-one million, seven hundred seventy-nine thousand, two hundred".