12186741600 has 864 divisors, whose sum is σ = 50160539520. Its totient is φ = 2861568000.

The previous prime is 12186741599. The next prime is 12186741629. The reversal of 12186741600 is 614768121.

It is a happy number.

12186741600 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 6 + 7 + 41 + 600 = 666.

12186741600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 143 ways as a sum of consecutive naturals, for example, 87674331 + ... + 87674469.

It is an arithmetic number, because the mean of its divisors is an integer number (58056180).

Almost surely, 2^12186741600 is an apocalyptic number.

12186741600 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 12186741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25080269760).

12186741600 is an abundant number, since it is smaller than the sum of its proper divisors (37973797920).

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

12186741600 is a wasteful number, since it uses less digits than its factorization.

12186741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12186741600 in words is "twelve billion, one hundred eighty-six million, seven hundred forty-one thousand, six hundred".