205105530330120 has 128 divisors (see below), whose sum is σ = 703599702220800. Its totient is φ = 46855881336576.

The previous prime is 205105530330119. The next prime is 205105530330157. The reversal of 205105530330120 is 21033035501502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64548480 + ... + 67651439.

It is an arithmetic number, because the mean of its divisors is an integer number (5496872673600).

Almost surely, 2^{205105530330120} is an apocalyptic number.

205105530330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205105530330120 is an abundant number, since it is smaller than the sum of its proper divisors (498494171890680).

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

205105530330120 is a wasteful number, since it uses less digits than its factorization.

205105530330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132201787 (or 132201783 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 205105530330120 its reverse (21033035501502), we get a palindrome (226138565831622).

The spelling of 205105530330120 in words is "two hundred five trillion, one hundred five billion, five hundred thirty million, three hundred thirty thousand, one hundred twenty".