12197271816704 has 240 divisors, whose sum is σ = 27820755072000. Its totient is φ = 5331944816640.

The previous prime is 12197271816649. The next prime is 12197271816721. The reversal of 12197271816704 is 40761817279121.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12197271816704.

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, 126022922 + ... + 126119670.

It is an arithmetic number, because the mean of its divisors is an integer number (115919812800).

Almost surely, 2^{12197271816704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12197271816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910377536000).

12197271816704 is an abundant number, since it is smaller than the sum of its proper divisors (15623483255296).

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

12197271816704 is an equidigital number, since it uses as much as digits as its factorization.

12197271816704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96871 (or 96842 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 56.

The spelling of 12197271816704 in words is "twelve trillion, one hundred ninety-seven billion, two hundred seventy-one million, eight hundred sixteen thousand, seven hundred four".