1004240120 has 64 divisors (see below), whose sum is σ = 2447172000. Its totient is φ = 368690688.

The previous prime is 1004240119. The next prime is 1004240129. The reversal of 1004240120 is 210424001.

It is a super-2 number, since 2×1004240120² = 2016996437235228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004240095 and 1004240104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004240129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87686 + ... + 98474.

Almost surely, 2^1004240120 is an apocalyptic number.

1004240120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223586000).

1004240120 is an abundant number, since it is smaller than the sum of its proper divisors (1442931880).

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

1004240120 is a wasteful number, since it uses less digits than its factorization.

1004240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992 (or 10988 counting only the distinct ones).

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

The square root of 1004240120 is about 31689.7478689875. The cubic root of 1004240120 is about 1001.4113804015.

Adding to 1004240120 its reverse (210424001), we get a palindrome (1214664121).

The spelling of 1004240120 in words is "one billion, four million, two hundred forty thousand, one hundred twenty".