20411240300120 has 256 divisors, whose sum is σ = 48988451635200. Its totient is φ = 7638159513600.

The previous prime is 20411240300069. The next prime is 20411240300147. The reversal of 20411240300120 is 2100304211402.

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 = 20411240300092 and 20411240300101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2820397142 + ... + 2820404378.

It is an arithmetic number, because the mean of its divisors is an integer number (191361139200).

Almost surely, 2^{20411240300120} is an apocalyptic number.

20411240300120 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 20411240300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494225817600).

20411240300120 is an abundant number, since it is smaller than the sum of its proper divisors (28577211335080).

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

20411240300120 is a wasteful number, since it uses less digits than its factorization.

20411240300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20411240300120 its reverse (2100304211402), we get a palindrome (22511544511522).

The spelling of 20411240300120 in words is "twenty trillion, four hundred eleven billion, two hundred forty million, three hundred thousand, one hundred twenty".