2121147205 has 32 divisors (see below), whose sum is σ = 2747904480. Its totient is φ = 1565982720.

The previous prime is 2121147191. The next prime is 2121147229. The reversal of 2121147205 is 5027411212.

It can be written as a sum of positive squares in 16 ways, for example, as 439573156 + 1681574049 = 20966^2 + 41007^2 .

It is not a de Polignac number, because 2121147205 - 2¹¹ = 2121145157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121147205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2991391 + ... + 2992099.

It is an arithmetic number, because the mean of its divisors is an integer number (85872015).

Almost surely, 2^2121147205 is an apocalyptic number.

It is an amenable number.

2121147205 is a deficient number, since it is larger than the sum of its proper divisors (626757275).

2121147205 is a wasteful number, since it uses less digits than its factorization.

2121147205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 2121147205 is about 46055.9138982172. The cubic root of 2121147205 is about 1284.8633354029.

Adding to 2121147205 its reverse (5027411212), we get a palindrome (7148558417).

The spelling of 2121147205 in words is "two billion, one hundred twenty-one million, one hundred forty-seven thousand, two hundred five".