12822501045904 has 135 divisors (see below), whose sum is σ = 27624771335721. Its totient is φ = 5761447633920.

The previous prime is 12822501045889. The next prime is 12822501045917. The reversal of 12822501045904 is 40954010522821.

The square root of 12822501045904 is 3580852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5757792211600 + 7064708834304 = 2399540^2 + 2657952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15283075917 + ... + 15283076755.

Almost surely, 2^{12822501045904} is an apocalyptic number.

12822501045904 is the 3580852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12822501045904

12822501045904 is an abundant number, since it is smaller than the sum of its proper divisors (14802270289817).

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

12822501045904 is an frugal number, since it uses more digits than its factorization.

12822501045904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 12822501045904 in words is "twelve trillion, eight hundred twenty-two billion, five hundred one million, forty-five thousand, nine hundred four".