12822314736000 has 4096 divisors, whose sum is σ = 60183104716800. Its totient is φ = 2332753920000.

The previous prime is 12822314735963. The next prime is 12822314736047. The reversal of 12822314736000 is 63741322821.

It is a self number, because there is not a number n which added to its sum of digits gives 12822314736000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 56485967887 + ... + 56485968113.

It is an arithmetic number, because the mean of its divisors is an integer number (14693140800).

Almost surely, 2^{12822314736000} is an apocalyptic number.

12822314736000 is a gapful number since it is divisible by the number (10) 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 12822314736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30091552358400).

12822314736000 is an abundant number, since it is smaller than the sum of its proper divisors (47360789980800).

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

12822314736000 is a wasteful number, since it uses less digits than its factorization.

12822314736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 12822314736000 in words is "twelve trillion, eight hundred twenty-two billion, three hundred fourteen million, seven hundred thirty-six thousand".