12812728475352 has 64 divisors (see below), whose sum is σ = 35685318060000. Its totient is φ = 3806433921024.

The previous prime is 12812728475297. The next prime is 12812728475353. The reversal of 12812728475352 is 25357482721821.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12812728475292 and 12812728475301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12812728475353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708032977 + ... + 708051072.

Almost surely, 2^{12812728475352} is an apocalyptic number.

12812728475352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12812728475352 is an abundant number, since it is smaller than the sum of its proper divisors (22872589584648).

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

12812728475352 is a wasteful number, since it uses less digits than its factorization.

12812728475352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416084100 (or 1416084096 counting only the distinct ones).

The product of its digits is 15052800, while the sum is 57.

The spelling of 12812728475352 in words is "twelve trillion, eight hundred twelve billion, seven hundred twenty-eight million, four hundred seventy-five thousand, three hundred fifty-two".