12827307434700 has 288 divisors, whose sum is σ = 42551956500480. Its totient is φ = 2953046764800.

The previous prime is 12827307434653. The next prime is 12827307434743. The reversal of 12827307434700 is 743470372821.

12827307434700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12827307434700.

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, 9942177 + ... + 11158023.

It is an arithmetic number, because the mean of its divisors is an integer number (147749848960).

Almost surely, 2^{12827307434700} is an apocalyptic number.

12827307434700 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 12827307434700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275978250240).

12827307434700 is an abundant number, since it is smaller than the sum of its proper divisors (29724649065780).

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

12827307434700 is a wasteful number, since it uses less digits than its factorization.

12827307434700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216037 (or 1216030 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 12827307434700 in words is "twelve trillion, eight hundred twenty-seven billion, three hundred seven million, four hundred thirty-four thousand, seven hundred".