12275827948608 has 224 divisors, whose sum is σ = 37883735865600. Its totient is φ = 3506784583680.

The previous prime is 12275827948577. The next prime is 12275827948627. The reversal of 12275827948608 is 80684972857221.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516365010 + ... + 516388782.

Almost surely, 2^{12275827948608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12275827948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941867932800).

12275827948608 is an abundant number, since it is smaller than the sum of its proper divisors (25607907916992).

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

12275827948608 is an equidigital number, since it uses as much as digits as its factorization.

12275827948608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31650 (or 31626 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 69.

The spelling of 12275827948608 in words is "twelve trillion, two hundred seventy-five billion, eight hundred twenty-seven million, nine hundred forty-eight thousand, six hundred eight".