12727170100 has 72 divisors (see below), whose sum is σ = 28367871840. Its totient is φ = 4953540480.

The previous prime is 12727170097. The next prime is 12727170109. The reversal of 12727170100 is 107172721.

12727170100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12727170109) 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 23 ways as a sum of consecutive naturals, for example, 1151199 + ... + 1162201.

It is an arithmetic number, because the mean of its divisors is an integer number (393998220).

Almost surely, 2^12727170100 is an apocalyptic number.

12727170100 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 12727170100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183935920).

12727170100 is an abundant number, since it is smaller than the sum of its proper divisors (15640701740).

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

12727170100 is a wasteful number, since it uses less digits than its factorization.

12727170100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11329 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 28.

The spelling of 12727170100 in words is "twelve billion, seven hundred twenty-seven million, one hundred seventy thousand, one hundred".