12187968 has 112 divisors (see below), whose sum is σ = 36697920. Its totient is φ = 3538944.

The previous prime is 12187951. The next prime is 12188003. The reversal of 12187968 is 86978121.

12187968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47296 + ... + 47552.

It is an arithmetic number, because the mean of its divisors is an integer number (327660).

Almost surely, 2^12187968 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 12187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18348960).

12187968 is an abundant number, since it is smaller than the sum of its proper divisors (24509952).

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

12187968 is a wasteful number, since it uses less digits than its factorization.

12187968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 12187968 is about 3491.1270386510. The cubic root of 12187968 is about 230.1320476777.

The spelling of 12187968 in words is "twelve million, one hundred eighty-seven thousand, nine hundred sixty-eight".