11205040221 has 48 divisors (see below), whose sum is σ = 18060719040. Its totient is φ = 6652592640.

The previous prime is 11205040159. The next prime is 11205040243. The reversal of 11205040221 is 12204050211.

It is not a de Polignac number, because 11205040221 - 2⁹ = 11205039709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11205040194 and 11205040203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205040261) 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, 3169771 + ... + 3173303.

It is an arithmetic number, because the mean of its divisors is an integer number (376264980).

Almost surely, 2^11205040221 is an apocalyptic number.

It is an amenable number.

11205040221 is a deficient number, since it is larger than the sum of its proper divisors (6855678819).

11205040221 is a wasteful number, since it uses less digits than its factorization.

11205040221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11205040221 its reverse (12204050211), we get a palindrome (23409090432).

The spelling of 11205040221 in words is "eleven billion, two hundred five million, forty thousand, two hundred twenty-one".