1004201120 has 48 divisors (see below), whose sum is σ = 2554924680. Its totient is φ = 370781184.

The previous prime is 1004201119. The next prime is 1004201171. The reversal of 1004201120 is 211024001.

It can be written as a sum of positive squares in 4 ways, for example, as 464661136 + 539539984 = 21556^2 + 23228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239315 + ... + 243474.

Almost surely, 2^1004201120 is an apocalyptic number.

1004201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004201120 is an abundant number, since it is smaller than the sum of its proper divisors (1550723560).

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

1004201120 is a wasteful number, since it uses less digits than its factorization.

1004201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482817 (or 482809 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1004201120 is about 31689.1325220493. The cubic root of 1004201120 is about 1001.3984168521.

Adding to 1004201120 its reverse (211024001), we get a palindrome (1215225121).

The spelling of 1004201120 in words is "one billion, four million, two hundred one thousand, one hundred twenty".