1004144121 has 20 divisors (see below), whose sum is σ = 1514881764. Its totient is φ = 662796000.

The previous prime is 1004144107. The next prime is 1004144171. The reversal of 1004144121 is 1214414001.

It can be written as a sum of positive squares in 2 ways, for example, as 939116025 + 65028096 = 30645^2 + 8064^2 .

It is not a de Polignac number, because 1004144121 - 2⁷ = 1004143993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004144094 and 1004144103.

It is not an unprimeable number, because it can be changed into a prime (1004144171) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53190 + ... + 69551.

Almost surely, 2^1004144121 is an apocalyptic number.

It is an amenable number.

1004144121 is a deficient number, since it is larger than the sum of its proper divisors (510737643).

1004144121 is a wasteful number, since it uses less digits than its factorization.

1004144121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122854 (or 122845 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1004144121 is about 31688.2331631159. The cubic root of 1004144121 is about 1001.3794698546.

Adding to 1004144121 its reverse (1214414001), we get a palindrome (2218558122).

The spelling of 1004144121 in words is "one billion, four million, one hundred forty-four thousand, one hundred twenty-one".