12284009345 has 8 divisors (see below), whose sum is σ = 15607917864. Its totient is φ = 9249136384.

The previous prime is 12284009329. The next prime is 12284009363. The reversal of 12284009345 is 54390048221.

12284009345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 455054224 + 11828955121 = 21332^2 + 108761^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12284009345 - 2⁴ = 12284009329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12284009299 and 12284009308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72258794 + ... + 72258963.

It is an arithmetic number, because the mean of its divisors is an integer number (1950989733).

Almost surely, 2^12284009345 is an apocalyptic number.

It is an amenable number.

12284009345 is a deficient number, since it is larger than the sum of its proper divisors (3323908519).

12284009345 is a wasteful number, since it uses less digits than its factorization.

12284009345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144517779.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 12284009345 in words is "twelve billion, two hundred eighty-four million, nine thousand, three hundred forty-five".