205212333442221 has 48 divisors (see below), whose sum is σ = 339972416512768. Its totient is φ = 116846350156800.

The previous prime is 205212333442217. The next prime is 205212333442223. The reversal of 205212333442221 is 122244333212502.

205212333442221 is a `hidden beast` number, since 2 + 0 + 52 + 12 + 3 + 334 + 42 + 221 = 666.

205212333442221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205212333442221 - 2² = 205212333442217 is a prime.

It is a super-2 number, since 2×205212333442221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205212333442223) 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, 15220701 + ... + 25339581.

Almost surely, 2^{205212333442221} is an apocalyptic number.

205212333442221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205212333442221 is a deficient number, since it is larger than the sum of its proper divisors (134760083070547).

205212333442221 is a wasteful number, since it uses less digits than its factorization.

205212333442221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120042 (or 10120039 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 205212333442221 its reverse (122244333212502), we get a palindrome (327456666654723).

The spelling of 205212333442221 in words is "two hundred five trillion, two hundred twelve billion, three hundred thirty-three million, four hundred forty-two thousand, two hundred twenty-one".