12660127200 has 1152 divisors, whose sum is σ = 56236400640. Its totient is φ = 2687385600.

The previous prime is 12660127189. The next prime is 12660127247. The reversal of 12660127200 is 272106621.

12660127200 is a `hidden beast` number, since 12 + 6 + 601 + 27 + 20 + 0 = 666.

12660127200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 173426364 + ... + 173426436.

It is an arithmetic number, because the mean of its divisors is an integer number (48816320).

Almost surely, 2^12660127200 is an apocalyptic number.

12660127200 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 12660127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28118200320).

12660127200 is an abundant number, since it is smaller than the sum of its proper divisors (43576273440).

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

12660127200 is a wasteful number, since it uses less digits than its factorization.

12660127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12660127200 in words is "twelve billion, six hundred sixty million, one hundred twenty-seven thousand, two hundred".