12186800640 has 960 divisors, whose sum is σ = 52549136640. Its totient is φ = 2548039680.

The previous prime is 12186800627. The next prime is 12186800663. The reversal of 12186800640 is 4600868121.

12186800640 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 6 + 8 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12186800595 and 12186800604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125637072 + ... + 125637168.

It is an arithmetic number, because the mean of its divisors is an integer number (54738684).

Almost surely, 2^12186800640 is an apocalyptic number.

12186800640 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 12186800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26274568320).

12186800640 is an abundant number, since it is smaller than the sum of its proper divisors (40362336000).

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

12186800640 is a wasteful number, since it uses less digits than its factorization.

12186800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12186800640 in words is "twelve billion, one hundred eighty-six million, eight hundred thousand, six hundred forty".