12322585205316 has 81 divisors (see below), whose sum is σ = 31248045885693. Its totient is φ = 4094476905600.

The previous prime is 12322585205251. The next prime is 12322585205339. The reversal of 12322585205316 is 61350258522321.

The square root of 12322585205316 is 3510354.

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

12322585205316 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 2 + 585 + 2 + 0 + 53 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12199973179716 + 122612025600 = 3492846^2 + 350160^2 .

It is a super-2 number, since 2×12322585205316² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8445910995 + ... + 8445912453.

Almost surely, 2^{12322585205316} is an apocalyptic number.

12322585205316 is the 3510354-th square number.

It is an amenable number.

12322585205316 is an abundant number, since it is smaller than the sum of its proper divisors (18925460680377).

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

12322585205316 is an frugal number, since it uses more digits than its factorization.

12322585205316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 12322585205316 in words is "twelve trillion, three hundred twenty-two billion, five hundred eighty-five million, two hundred five thousand, three hundred sixteen".