12812085869652 has 144 divisors (see below), whose sum is σ = 34728740294080. Its totient is φ = 4084397203392.

The previous prime is 12812085869633. The next prime is 12812085869719. The reversal of 12812085869652 is 25696858021821.

It is a happy number.

12812085869652 is a `hidden beast` number, since 1 + 28 + 1 + 20 + 8 + 586 + 9 + 6 + 5 + 2 = 666.

It is a super-2 number, since 2×12812085869652² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12812085869652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518003478 + ... + 518028210.

Almost surely, 2^{12812085869652} is an apocalyptic number.

12812085869652 is a gapful number since it is divisible by the number (12) 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 12812085869652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364370147040).

12812085869652 is an abundant number, since it is smaller than the sum of its proper divisors (21916654424428).

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

12812085869652 is a wasteful number, since it uses less digits than its factorization.

12812085869652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33859 (or 33828 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 12812085869652 in words is "twelve trillion, eight hundred twelve billion, eighty-five million, eight hundred sixty-nine thousand, six hundred fifty-two".