127714227201 has 288 divisors, whose sum is σ = 234873999360. Its totient is φ = 68336231040.

The previous prime is 127714227187. The next prime is 127714227209. The reversal of 127714227201 is 102722417721.

127714227201 is a `hidden beast` number, since 1 + 27 + 7 + 1 + 422 + 7 + 201 = 666.

It is not a de Polignac number, because 127714227201 - 2⁷ = 127714227073 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127714227209) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2717323960 + ... + 2717324006.

It is an arithmetic number, because the mean of its divisors is an integer number (815534720).

Almost surely, 2^127714227201 is an apocalyptic number.

127714227201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127714227201 is a deficient number, since it is larger than the sum of its proper divisors (107159772159).

127714227201 is a wasteful number, since it uses less digits than its factorization.

127714227201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 127714227201 in words is "one hundred twenty-seven billion, seven hundred fourteen million, two hundred twenty-seven thousand, two hundred one".