12822306048 has 144 divisors (see below), whose sum is σ = 38140549440. Its totient is φ = 4248999936.

The previous prime is 12822306019. The next prime is 12822306061. The reversal of 12822306048 is 84060322821.

12822306048 is a `hidden beast` number, since 1 + 28 + 2 + 23 + 0 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190415 + ... + 1201137.

Almost surely, 2^12822306048 is an apocalyptic number.

12822306048 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 12822306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070274720).

12822306048 is an abundant number, since it is smaller than the sum of its proper divisors (25318243392).

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

12822306048 is a wasteful number, since it uses less digits than its factorization.

12822306048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 12822306048 its reverse (84060322821), we get a palindrome (96882628869).

The spelling of 12822306048 in words is "twelve billion, eight hundred twenty-two million, three hundred six thousand, forty-eight".