12678727827700 has 144 divisors (see below), whose sum is σ = 31066146639360. Its totient is φ = 4449003328000.

The previous prime is 12678727827659. The next prime is 12678727827713. The reversal of 12678727827700 is 772872787621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58044690 + ... + 58262710.

It is an arithmetic number, because the mean of its divisors is an integer number (215737129440).

Almost surely, 2^{12678727827700} is an apocalyptic number.

12678727827700 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 12678727827700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15533073319680).

12678727827700 is an abundant number, since it is smaller than the sum of its proper divisors (18387418811660).

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

12678727827700 is a wasteful number, since it uses less digits than its factorization.

12678727827700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219898 (or 219891 counting only the distinct ones).

The product of its (nonzero) digits is 51631104, while the sum is 64.

The spelling of 12678727827700 in words is "twelve trillion, six hundred seventy-eight billion, seven hundred twenty-seven million, eight hundred twenty-seven thousand, seven hundred".