12822858309504 has 256 divisors, whose sum is σ = 36509943240000. Its totient is φ = 3987190710272.

The previous prime is 12822858309461. The next prime is 12822858309509. The reversal of 12822858309504 is 40590385822821.

12822858309504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12822858309509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213154822 + ... + 213214970.

Almost surely, 2^{12822858309504} 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 12822858309504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18254971620000).

12822858309504 is an abundant number, since it is smaller than the sum of its proper divisors (23687084930496).

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

12822858309504 is an equidigital number, since it uses as much as digits as its factorization.

12822858309504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60330 (or 60284 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 12822858309504 in words is "twelve trillion, eight hundred twenty-two billion, eight hundred fifty-eight million, three hundred nine thousand, five hundred four".