12271511870688 has 48 divisors (see below), whose sum is σ = 36814535614080. Its totient is φ = 3506146248576.

The previous prime is 12271511870687. The next prime is 12271511870771. The reversal of 12271511870688 is 88607811517221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×12271511870688⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12271511870687) 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, 9130588518 + ... + 9130589861.

It is an arithmetic number, because the mean of its divisors is an integer number (766969491960).

Almost surely, 2^{12271511870688} is an apocalyptic number.

It is an amenable number.

12271511870688 is an abundant number, since it is smaller than the sum of its proper divisors (24543023743392).

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

12271511870688 is a wasteful number, since it uses less digits than its factorization.

12271511870688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18261178399 (or 18261178391 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 57.

The spelling of 12271511870688 in words is "twelve trillion, two hundred seventy-one billion, five hundred eleven million, eight hundred seventy thousand, six hundred eighty-eight".