205442212221 has 32 divisors (see below), whose sum is σ = 322627893120. Its totient is φ = 128758678272.

The previous prime is 205442212219. The next prime is 205442212229. The reversal of 205442212221 is 122212244502.

205442212221 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 422 + 12 + 221 = 666.

It is not a de Polignac number, because 205442212221 - 2¹ = 205442212219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205442212229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151851 + ... + 658743.

It is an arithmetic number, because the mean of its divisors is an integer number (10082121660).

Almost surely, 2^205442212221 is an apocalyptic number.

It is an amenable number.

205442212221 is a deficient number, since it is larger than the sum of its proper divisors (117185680899).

205442212221 is a wasteful number, since it uses less digits than its factorization.

205442212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507802 (or 507796 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 205442212221 its reverse (122212244502), we get a palindrome (327654456723).

The spelling of 205442212221 in words is "two hundred five billion, four hundred forty-two million, two hundred twelve thousand, two hundred twenty-one".