12187178242368 has 224 divisors, whose sum is σ = 32628718080000. Its totient is φ = 4014401470464.

The previous prime is 12187178242339. The next prime is 12187178242387. The reversal of 12187178242368 is 86324287178121.

It is a super-2 number, since 2×12187178242368² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8130204883 + ... + 8130206381.

It is an arithmetic number, because the mean of its divisors is an integer number (145663920000).

Almost surely, 2^{12187178242368} 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 12187178242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314359040000).

12187178242368 is an abundant number, since it is smaller than the sum of its proper divisors (20441539837632).

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

12187178242368 is a wasteful number, since it uses less digits than its factorization.

12187178242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2859 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 60.

The spelling of 12187178242368 in words is "twelve trillion, one hundred eighty-seven billion, one hundred seventy-eight million, two hundred forty-two thousand, three hundred sixty-eight".