12264704410000 has 225 divisors, whose sum is σ = 34548993885351. Its totient is φ = 4204201008000.

The previous prime is 12264704409989. The next prime is 12264704410003. The reversal of 12264704410000 is 1440746221.

The square root of 12264704410000 is 3502100.

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

It can be written as a sum of positive squares in 2 ways, for example, as 961552825744 + 11303151584256 = 980588^2 + 3362016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12264704410003) 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 44 ways as a sum of consecutive naturals, for example, 2451467499 + ... + 2451472501.

Almost surely, 2^{12264704410000} is an apocalyptic number.

12264704410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12264704410000 is the 3502100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12264704410000

12264704410000 is an abundant number, since it is smaller than the sum of its proper divisors (22284289475351).

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

12264704410000 is an frugal number, since it uses more digits than its factorization.

12264704410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 12264704410000 in words is "twelve trillion, two hundred sixty-four billion, seven hundred four million, four hundred ten thousand".