205121024 has 40 divisors (see below), whose sum is σ = 417629520. Its totient is φ = 100612096.

The previous prime is 205121023. The next prime is 205121039. The reversal of 205121024 is 420121502.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 205120993 and 205121011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205121023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23357 + ... + 30915.

It is an arithmetic number, because the mean of its divisors is an integer number (10440738).

Almost surely, 2^205121024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208814760).

205121024 is an abundant number, since it is smaller than the sum of its proper divisors (212508496).

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

205121024 is an frugal number, since it uses more digits than its factorization.

205121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 205121024 is about 14322.0467810994. The cubic root of 205121024 is about 589.7528640336.

Adding to 205121024 its reverse (420121502), we get a palindrome (625242526).

The spelling of 205121024 in words is "two hundred five million, one hundred twenty-one thousand, twenty-four".