4120001 has 16 divisors (see below), whose sum is σ = 4620240. Its totient is φ = 3655680.

The previous prime is 4119991. The next prime is 4120003. The reversal of 4120001 is 1000214.

It can be written as a sum of positive squares in 8 ways, for example, as 39601 + 4080400 = 199^2 + 2020^2 .

It is not a de Polignac number, because 4120001 - 2⁶ = 4119937 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120003) 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, 30005 + ... + 30141.

It is an arithmetic number, because the mean of its divisors is an integer number (288765).

Almost surely, 2^4120001 is an apocalyptic number.

It is an amenable number.

4120001 is a deficient number, since it is larger than the sum of its proper divisors (500239).

4120001 is a wasteful number, since it uses less digits than its factorization.

4120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 4120001 is about 2029.7785593507. The cubic root of 4120001 is about 160.3119045977.

Adding to 4120001 its reverse (1000214), we get a palindrome (5120215).

The spelling of 4120001 in words is "four million, one hundred twenty thousand, one".