12985286209 has 27 divisors (see below), whose sum is σ = 15384075363. Its totient is φ = 10928548512.

The previous prime is 12985286161. The next prime is 12985286227. The reversal of 12985286209 is 90268258921.

The square root of 12985286209 is 113953.

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., 7371081025 + 5614205184 = 85855^2 + 74928^2 .

It is not a de Polignac number, because 12985286209 - 2¹¹ = 12985284161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12985286269) 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 26 ways as a sum of consecutive naturals, for example, 58229872 + ... + 58230094.

It is an arithmetic number, because the mean of its divisors is an integer number (569780569).

Almost surely, 2^12985286209 is an apocalyptic number.

12985286209 is the 113953-rd square number.

12985286209 is the 56977-th centered octagonal number.

It is an amenable number.

12985286209 is a deficient number, since it is larger than the sum of its proper divisors (2398789154).

12985286209 is an frugal number, since it uses more digits than its factorization.

12985286209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 12985286209 in words is "twelve billion, nine hundred eighty-five million, two hundred eighty-six thousand, two hundred nine".