12287040961 has 16 divisors (see below), whose sum is σ = 13463475088. Its totient is φ = 11144044800.

The previous prime is 12287040923. The next prime is 12287041009. The reversal of 12287040961 is 16904078221.

It can be written as a sum of positive squares in 8 ways, for example, as 260628736 + 12026412225 = 16144^2 + 109665^2 .

It is a cyclic number.

It is not a de Polignac number, because 12287040961 - 2⁷ = 12287040833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12284040961) 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 15 ways as a sum of consecutive naturals, for example, 782851 + ... + 798391.

It is an arithmetic number, because the mean of its divisors is an integer number (841467193).

Almost surely, 2^12287040961 is an apocalyptic number.

It is an amenable number.

12287040961 is a deficient number, since it is larger than the sum of its proper divisors (1176434127).

12287040961 is a wasteful number, since it uses less digits than its factorization.

12287040961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16612.

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 12287040961 in words is "twelve billion, two hundred eighty-seven million, forty thousand, nine hundred sixty-one".