12227547297681 has 27 divisors (see below), whose sum is σ = 18292504007089. Its totient is φ = 7870409336832.

The previous prime is 12227547297673. The next prime is 12227547297697. The reversal of 12227547297681 is 18679274572221.

The square root of 12227547297681 is 3496791.

It is a perfect power (a square), and thus also a powerful number.

12227547297681 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 7 + 547 + 2 + 9 + 7 + 6 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 865820945025 + 11361726352656 = 930495^2 + 3370716^2 .

It is not a de Polignac number, because 12227547297681 - 2³ = 12227547297673 is a prime.

It is a super-3 number, since 3×12227547297681³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12227547297661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 304200721 + ... + 304240913.

Almost surely, 2^{12227547297681} is an apocalyptic number.

12227547297681 is the 3496791-st square number.

12227547297681 is the 1748396-th centered octagonal number.

It is an amenable number.

12227547297681 is a deficient number, since it is larger than the sum of its proper divisors (6064956709408).

12227547297681 is an frugal number, since it uses more digits than its factorization.

12227547297681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80450 (or 40225 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 12227547297681 in words is "twelve trillion, two hundred twenty-seven billion, five hundred forty-seven million, two hundred ninety-seven thousand, six hundred eighty-one".