11205432011207 has 48 divisors (see below), whose sum is σ = 13644306144000. Its totient is φ = 9163598298624.

The previous prime is 11205432011171. The next prime is 11205432011227. The reversal of 11205432011207 is 70211023450211.

It is not a de Polignac number, because 11205432011207 - 2²⁶ = 11205364902343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 11205432011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205432011227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211050218 + ... + 211103304.

It is an arithmetic number, because the mean of its divisors is an integer number (284256378000).

Almost surely, 2^{11205432011207} is an apocalyptic number.

11205432011207 is a deficient number, since it is larger than the sum of its proper divisors (2438874132793).

11205432011207 is a wasteful number, since it uses less digits than its factorization.

11205432011207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54888 (or 54881 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 11205432011207 its reverse (70211023450211), we get a palindrome (81416455461418).

The spelling of 11205432011207 in words is "eleven trillion, two hundred five billion, four hundred thirty-two million, eleven thousand, two hundred seven".