12186345704 has 128 divisors (see below), whose sum is σ = 26671680000. Its totient is φ = 5171558400.

The previous prime is 12186345701. The next prime is 12186345707. The reversal of 12186345704 is 40754368121.

12186345704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12186345701) and next prime (12186345707).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (12186345701) by changing a digit.

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, 28274369 + ... + 28274799.

It is an arithmetic number, because the mean of its divisors is an integer number (208372500).

Almost surely, 2^12186345704 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 12186345704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840000).

12186345704 is an abundant number, since it is smaller than the sum of its proper divisors (14485334296).

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

12186345704 is a wasteful number, since it uses less digits than its factorization.

12186345704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 12186345704 in words is "twelve billion, one hundred eighty-six million, three hundred forty-five thousand, seven hundred four".