12287352430224 has 135 divisors (see below), whose sum is σ = 36531430376233. Its totient is φ = 3854631323136.

The previous prime is 12287352430189. The next prime is 12287352430273. The reversal of 12287352430224 is 42203425378221.

The square root of 12287352430224 is 3505332.

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

12287352430224 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 73 + 524 + 30 + 2 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9566277843600 + 2721074586624 = 3092940^2 + 1649568^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12287352430224.

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, 715079137 + ... + 715096319.

Almost surely, 2^{12287352430224} is an apocalyptic number.

12287352430224 is the 3505332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12287352430224

12287352430224 is an abundant number, since it is smaller than the sum of its proper divisors (24244077946009).

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

12287352430224 is an frugal number, since it uses more digits than its factorization.

12287352430224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34414 (or 17205 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 12287352430224 in words is "twelve trillion, two hundred eighty-seven billion, three hundred fifty-two million, four hundred thirty thousand, two hundred twenty-four".