12811062212928 has 560 divisors, whose sum is σ = 43879023264384. Its totient is φ = 3620082585600.

The previous prime is 12811062212911. The next prime is 12811062212987. The reversal of 12811062212928 is 82921226011821.

12811062212928 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 1 + 0 + 622 + 12 + 9 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5435324326 + ... + 5435326682.

Almost surely, 2^{12811062212928} is an apocalyptic number.

12811062212928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12811062212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939511632192).

12811062212928 is an abundant number, since it is smaller than the sum of its proper divisors (31067961051456).

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

12811062212928 is a wasteful number, since it uses less digits than its factorization.

12811062212928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 12811062212928 in words is "twelve trillion, eight hundred eleven billion, sixty-two million, two hundred twelve thousand, nine hundred twenty-eight".