11000212211005 has 16 divisors (see below), whose sum is σ = 13590852804144. Its totient is φ = 8541950072320.

The previous prime is 11000212210997. The next prime is 11000212211041. The reversal of 11000212211005 is 50011221200011.

It can be written as a sum of positive squares in 8 ways, for example, as 692375432281 + 10307836778724 = 832091^2 + 3210582^2 .

It is not a de Polignac number, because 11000212211005 - 2³ = 11000212210997 is a prime.

It is a super-2 number, since 2×11000212211005² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11000212211005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136151422 + ... + 136232191.

It is an arithmetic number, because the mean of its divisors is an integer number (849428300259).

Almost surely, 2^{11000212211005} is an apocalyptic number.

It is an amenable number.

11000212211005 is a deficient number, since it is larger than the sum of its proper divisors (2590640593139).

11000212211005 is a wasteful number, since it uses less digits than its factorization.

11000212211005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272383856.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 11000212211005 its reverse (50011221200011), we get a palindrome (61011433411016).

The spelling of 11000212211005 in words is "eleven trillion, two hundred twelve million, two hundred eleven thousand, five".