12827121272 has 64 divisors (see below), whose sum is σ = 27730752000. Its totient is φ = 5448663936.

The previous prime is 12827121271. The next prime is 12827121313. The reversal of 12827121272 is 27212172821.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12827121271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6825629 + ... + 6827507.

It is an arithmetic number, because the mean of its divisors is an integer number (433293000).

Almost surely, 2^12827121272 is an apocalyptic number.

It is an amenable number.

12827121272 is an abundant number, since it is smaller than the sum of its proper divisors (14903630728).

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

12827121272 is a wasteful number, since it uses less digits than its factorization.

12827121272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2904 counting only the distinct ones).

The product of its digits is 12544, while the sum is 35.

The spelling of 12827121272 in words is "twelve billion, eight hundred twenty-seven million, one hundred twenty-one thousand, two hundred seventy-two".