1004116120 has 64 divisors (see below), whose sum is σ = 2624385600. Its totient is φ = 338618880.

The previous prime is 1004116093. The next prime is 1004116159. The reversal of 1004116120 is 216114001.

It is a junction number, because it is equal to n+sod(n) for n = 1004116094 and 1004116103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12315 + ... + 46474.

It is an arithmetic number, because the mean of its divisors is an integer number (41006025).

Almost surely, 2^1004116120 is an apocalyptic number.

1004116120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004116120 is an abundant number, since it is smaller than the sum of its proper divisors (1620269480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004116120 is a wasteful number, since it uses less digits than its factorization.

1004116120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58868 (or 58864 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1004116120 is about 31687.7913398836. The cubic root of 1004116120 is about 1001.3701617992.

The spelling of 1004116120 in words is "one billion, four million, one hundred sixteen thousand, one hundred twenty".