12211010011205 has 16 divisors (see below), whose sum is σ = 14661341982000. Its totient is φ = 9763388743680.

The previous prime is 12211010011049. The next prime is 12211010011223. The reversal of 12211010011205 is 50211001011221.

It can be written as a sum of positive squares in 8 ways, for example, as 855848864641 + 11355161146564 = 925121^2 + 3369742^2 .

It is not a de Polignac number, because 12211010011205 - 2³⁶ = 12142290534469 is a prime.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 173197601 + ... + 173268089.

It is an arithmetic number, because the mean of its divisors is an integer number (916333873875).

Almost surely, 2^{12211010011205} is an apocalyptic number.

It is an amenable number.

12211010011205 is a deficient number, since it is larger than the sum of its proper divisors (2450331970795).

12211010011205 is a wasteful number, since it uses less digits than its factorization.

12211010011205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89224.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 12211010011205 its reverse (50211001011221), we get a palindrome (62422011022426).

The spelling of 12211010011205 in words is "twelve trillion, two hundred eleven billion, ten million, eleven thousand, two hundred five".