8205189121 has 16 divisors (see below), whose sum is σ = 8679303360. Its totient is φ = 7735400640.

The previous prime is 8205189101. The next prime is 8205189127. The reversal of 8205189121 is 1219815028.

It is a cyclic number.

It is not a de Polignac number, because 8205189121 - 2⁷ = 8205188993 is a prime.

It is a super-2 number, since 2×8205189121² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8205189127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5011515 + ... + 5013151.

It is an arithmetic number, because the mean of its divisors is an integer number (542456460).

Almost surely, 2^8205189121 is an apocalyptic number.

It is an amenable number.

8205189121 is a deficient number, since it is larger than the sum of its proper divisors (474114239).

8205189121 is a wasteful number, since it uses less digits than its factorization.

8205189121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784.

The product of its (nonzero) digits is 11520, while the sum is 37.

The square root of 8205189121 is about 90582.4989774515. The cubic root of 8205189121 is about 2016.9549520466.

The spelling of 8205189121 in words is "eight billion, two hundred five million, one hundred eighty-nine thousand, one hundred twenty-one".