205241212098 has 96 divisors (see below), whose sum is σ = 496835337600. Its totient is φ = 62772525504.

The previous prime is 205241212097. The next prime is 205241212117. The reversal of 205241212098 is 890212142502.

205241212098 is a `hidden beast` number, since 2 + 0 + 524 + 1 + 2 + 120 + 9 + 8 = 666.

205241212098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205241212097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1456708 + ... + 1591376.

It is an arithmetic number, because the mean of its divisors is an integer number (5175368100).

Almost surely, 2^205241212098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205241212098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248417668800).

205241212098 is an abundant number, since it is smaller than the sum of its proper divisors (291594125502).

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

205241212098 is a wasteful number, since it uses less digits than its factorization.

205241212098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134873 (or 134854 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 205241212098 in words is "two hundred five billion, two hundred forty-one million, two hundred twelve thousand, ninety-eight".