127246561600401 has 12 divisors (see below), whose sum is σ = 184391587660800. Its totient is φ = 84558272444280.

The previous prime is 127246561600393. The next prime is 127246561600429. The reversal of 127246561600401 is 104006165642721.

127246561600401 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 46 + 561 + 6 + 0 + 0 + 40 + 1 = 666.

It is not a de Polignac number, because 127246561600401 - 2³ = 127246561600393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127246561600801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22730715601 + ... + 22730721198.

It is an arithmetic number, because the mean of its divisors is an integer number (15365965638400).

Almost surely, 2^{127246561600401} is an apocalyptic number.

It is an amenable number.

127246561600401 is a deficient number, since it is larger than the sum of its proper divisors (57145026060399).

127246561600401 is a wasteful number, since it uses less digits than its factorization.

127246561600401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45461437116 (or 45461437113 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 127246561600401 in words is "one hundred twenty-seven trillion, two hundred forty-six billion, five hundred sixty-one million, six hundred thousand, four hundred one".