4205124201 has 16 divisors (see below), whose sum is σ = 5921104896. Its totient is φ = 2649217296.

The previous prime is 4205124181. The next prime is 4205124229. The reversal of 4205124201 is 1024215024.

4205124201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4205124201 - 2¹¹ = 4205122153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4205124271) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 361405 + ... + 372858.

It is an arithmetic number, because the mean of its divisors is an integer number (370069056).

Almost surely, 2^4205124201 is an apocalyptic number.

It is an amenable number.

4205124201 is a deficient number, since it is larger than the sum of its proper divisors (1715980695).

4205124201 is a wasteful number, since it uses less digits than its factorization.

4205124201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734372.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4205124201 is about 64846.9290020738. The cubic root of 4205124201 is about 1614.0845327465.

Adding to 4205124201 its reverse (1024215024), we get a palindrome (5229339225).

The spelling of 4205124201 in words is "four billion, two hundred five million, one hundred twenty-four thousand, two hundred one".