205561200121044 has 48 divisors (see below), whose sum is σ = 487419452287488. Its totient is φ = 67418301948928.

The previous prime is 205561200121031. The next prime is 205561200121061. The reversal of 205561200121044 is 440121002165502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 205561200120996 and 205561200121014.

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, 553076292 + ... + 553447835.

It is an arithmetic number, because the mean of its divisors is an integer number (10154571922656).

Almost surely, 2^{205561200121044} is an apocalyptic number.

It is an amenable number.

205561200121044 is an abundant number, since it is smaller than the sum of its proper divisors (281858252166444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205561200121044 is a wasteful number, since it uses less digits than its factorization.

205561200121044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106524384 (or 1106524382 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 205561200121044 its reverse (440121002165502), we get a palindrome (645682202286546).

The spelling of 205561200121044 in words is "two hundred five trillion, five hundred sixty-one billion, two hundred million, one hundred twenty-one thousand, forty-four".