4134122001 has 48 divisors (see below), whose sum is σ = 6159376080. Its totient is φ = 2671257600.

The previous prime is 4134121991. The next prime is 4134122009. The reversal of 4134122001 is 1002214314.

4134122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 151880976 + 3982241025 = 12324^2 + 63105^2 .

It is not a de Polignac number, because 4134122001 - 2⁵ = 4134121969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4134122009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11083251 + ... + 11083623.

It is an arithmetic number, because the mean of its divisors is an integer number (128320335).

Almost surely, 2^4134122001 is an apocalyptic number.

It is an amenable number.

4134122001 is a deficient number, since it is larger than the sum of its proper divisors (2025254079).

4134122001 is a wasteful number, since it uses less digits than its factorization.

4134122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4134122001 is about 64297.1383577839. The cubic root of 4134122001 is about 1604.9484817656.

Adding to 4134122001 its reverse (1002214314), we get a palindrome (5136336315).

The spelling of 4134122001 in words is "four billion, one hundred thirty-four million, one hundred twenty-two thousand, one".