12722344303584 has 192 divisors, whose sum is σ = 34216390656000. Its totient is φ = 4137227847168.

The previous prime is 12722344303583. The next prime is 12722344303601. The reversal of 12722344303584 is 48530344322721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12722344303583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1943229399 + ... + 1943235945.

It is an arithmetic number, because the mean of its divisors is an integer number (178210368000).

Almost surely, 2^{12722344303584} 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 12722344303584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108195328000).

12722344303584 is an abundant number, since it is smaller than the sum of its proper divisors (21494046352416).

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

12722344303584 is a wasteful number, since it uses less digits than its factorization.

12722344303584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 12722344303584 in words is "twelve trillion, seven hundred twenty-two billion, three hundred forty-four million, three hundred three thousand, five hundred eighty-four".