4004002121 has 12 divisors (see below), whose sum is σ = 4702943232. Its totient is φ = 3398677128.

The previous prime is 4004002103. The next prime is 4004002139. The reversal of 4004002121 is 1212004004.

4004002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4004002103) and next prime (4004002139).

It is not a de Polignac number, because 4004002121 - 2²² = 3999807817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4004002096 and 4004002105.

It is not an unprimeable number, because it can be changed into a prime (4004002021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391625 + ... + 401718.

It is an arithmetic number, because the mean of its divisors is an integer number (391911936).

Almost surely, 2^4004002121 is an apocalyptic number.

It is an amenable number.

4004002121 is a deficient number, since it is larger than the sum of its proper divisors (698941111).

4004002121 is a wasteful number, since it uses less digits than its factorization.

4004002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793460 (or 793453 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4004002121 is about 63277.1848378229. The cubic root of 4004002121 is about 1587.9302897584.

Adding to 4004002121 its reverse (1212004004), we get a palindrome (5216006125).

The spelling of 4004002121 in words is "four billion, four million, two thousand, one hundred twenty-one".