4001322121 has 16 divisors (see below), whose sum is σ = 4251294720. Its totient is φ = 3757845520.

The previous prime is 4001322053. The next prime is 4001322133. The reversal of 4001322121 is 1212231004.

4001322121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4001322121 - 2¹³ = 4001313929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4001322095 and 4001322104.

It is not an unprimeable number, because it can be changed into a prime (4901322121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658406 + ... + 1660816.

It is an arithmetic number, because the mean of its divisors is an integer number (265705920).

Almost surely, 2^4001322121 is an apocalyptic number.

It is an amenable number.

4001322121 is a deficient number, since it is larger than the sum of its proper divisors (249972599).

4001322121 is a wasteful number, since it uses less digits than its factorization.

4001322121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4001322121 is about 63256.0046240671. The cubic root of 4001322121 is about 1587.5759273913.

Adding to 4001322121 its reverse (1212231004), we get a palindrome (5213553125).

The spelling of 4001322121 in words is "four billion, one million, three hundred twenty-two thousand, one hundred twenty-one".