20304242120 has 64 divisors (see below), whose sum is σ = 47286385200. Its totient is φ = 7837240320.

The previous prime is 20304242107. The next prime is 20304242171. The reversal of 20304242120 is 2124240302.

It can be written as a sum of positive squares in 8 ways, for example, as 16003768036 + 4300474084 = 126506^2 + 65578^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20304242092 and 20304242101.

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, 2711822 + ... + 2719298.

Almost surely, 2^20304242120 is an apocalyptic number.

20304242120 is a gapful number since it is divisible by the number (20) 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 20304242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23643192600).

20304242120 is an abundant number, since it is smaller than the sum of its proper divisors (26982143080).

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

20304242120 is a wasteful number, since it uses less digits than its factorization.

20304242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9858 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20304242120 its reverse (2124240302), we get a palindrome (22428482422).

The spelling of 20304242120 in words is "twenty billion, three hundred four million, two hundred forty-two thousand, one hundred twenty".