12627950256001 has 8 divisors (see below), whose sum is σ = 12759033972960. Its totient is φ = 12497205696192.

The previous prime is 12627950255989. The next prime is 12627950256013. The reversal of 12627950256001 is 10065205972621.

It is an interprime number because it is at equal distance from previous prime (12627950255989) and next prime (12627950256013).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12627950256001 - 2⁵ = 12627950255969 is a prime.

It is a super-3 number, since 3×12627950256001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12627950296001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84714435 + ... + 84863368.

It is an arithmetic number, because the mean of its divisors is an integer number (1594879246620).

Almost surely, 2^{12627950256001} is an apocalyptic number.

It is an amenable number.

12627950256001 is a deficient number, since it is larger than the sum of its proper divisors (131083716959).

12627950256001 is a wasteful number, since it uses less digits than its factorization.

12627950256001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169578575.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 12627950256001 in words is "twelve trillion, six hundred twenty-seven billion, nine hundred fifty million, two hundred fifty-six thousand, one".