12896426271400 has 96 divisors (see below), whose sum is σ = 34779104619840. Its totient is φ = 4355637327360.

The previous prime is 12896426271397. The next prime is 12896426271427. The reversal of 12896426271400 is 417262469821.

12896426271400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12896426271400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68650477 + ... + 68838076.

It is an arithmetic number, because the mean of its divisors is an integer number (362282339790).

Almost surely, 2^{12896426271400} is an apocalyptic number.

12896426271400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12896426271400 is an abundant number, since it is smaller than the sum of its proper divisors (21882678348440).

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

12896426271400 is a wasteful number, since it uses less digits than its factorization.

12896426271400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137488643 (or 137488634 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 12896426271400 in words is "twelve trillion, eight hundred ninety-six billion, four hundred twenty-six million, two hundred seventy-one thousand, four hundred".