12871202891008 has 576 divisors, whose sum is σ = 34670659226112. Its totient is φ = 4615349207040.

The previous prime is 12871202890979. The next prime is 12871202891017. The reversal of 12871202891008 is 80019820217821.

It is a super-2 number, since 2×12871202891008² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6269459710 + ... + 6269461762.

It is an arithmetic number, because the mean of its divisors is an integer number (60192116712).

Almost surely, 2^{12871202891008} 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 12871202891008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335329613056).

12871202891008 is an abundant number, since it is smaller than the sum of its proper divisors (21799456335104).

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

12871202891008 is a wasteful number, since it uses less digits than its factorization.

12871202891008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 49.

The spelling of 12871202891008 in words is "twelve trillion, eight hundred seventy-one billion, two hundred two million, eight hundred ninety-one thousand, eight".