205251304121020 has 24 divisors (see below), whose sum is σ = 432583795484064. Its totient is φ = 81804129871296.

The previous prime is 205251304120987. The next prime is 205251304121027. The reversal of 205251304121020 is 20121403152502.

It is a happy number.

205251304121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205251304121020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205251304121027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18524480392 + ... + 18524491471.

It is an arithmetic number, because the mean of its divisors is an integer number (18024324811836).

Almost surely, 2^{205251304121020} is an apocalyptic number.

205251304121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205251304121020 is an abundant number, since it is smaller than the sum of its proper divisors (227332491363044).

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

205251304121020 is a wasteful number, since it uses less digits than its factorization.

205251304121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37048972149 (or 37048972147 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 205251304121020 its reverse (20121403152502), we get a palindrome (225372707273522).

The spelling of 205251304121020 in words is "two hundred five trillion, two hundred fifty-one billion, three hundred four million, one hundred twenty-one thousand, twenty".