205168461121 has 32 divisors (see below), whose sum is σ = 235006903040. Its totient is φ = 177548661504.

The previous prime is 205168461107. The next prime is 205168461149. The reversal of 205168461121 is 121164861502.

It is a cyclic number.

It is not a de Polignac number, because 205168461121 - 2¹¹ = 205168459073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205168461151) 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, 58334455 + ... + 58337971.

It is an arithmetic number, because the mean of its divisors is an integer number (7343965720).

Almost surely, 2^205168461121 is an apocalyptic number.

It is an amenable number.

205168461121 is a deficient number, since it is larger than the sum of its proper divisors (29838441919).

205168461121 is a wasteful number, since it uses less digits than its factorization.

205168461121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945.

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 205168461121 in words is "two hundred five billion, one hundred sixty-eight million, four hundred sixty-one thousand, one hundred twenty-one".