12187110608064 has 336 divisors, whose sum is σ = 40661755729920. Its totient is φ = 3417979299840.

The previous prime is 12187110608047. The next prime is 12187110608069. The reversal of 12187110608064 is 46080601178121.

12187110608064 is a `hidden beast` number, since 1 + 21 + 8 + 7 + 1 + 10 + 608 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (12187110608069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65463337 + ... + 65649239.

Almost surely, 2^{12187110608064} is an apocalyptic number.

12187110608064 is a gapful number since it is divisible by the number (14) 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 12187110608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20330877864960).

12187110608064 is an abundant number, since it is smaller than the sum of its proper divisors (28474645121856).

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

12187110608064 is a wasteful number, since it uses less digits than its factorization.

12187110608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186228 (or 186215 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 12187110608064 in words is "twelve trillion, one hundred eighty-seven billion, one hundred ten million, six hundred eight thousand, sixty-four".