20430112121120 has 192 divisors, whose sum is σ = 52259348625120. Its totient is φ = 7502800355328.

The previous prime is 20430112121099. The next prime is 20430112121123. The reversal of 20430112121120 is 2112121103402.

It can be written as a sum of positive squares in 16 ways, for example, as 2116128814864 + 18313983306256 = 1454692^2 + 4279484^2 .

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 = 20430112121092 and 20430112121101.

It is not an unprimeable number, because it can be changed into a prime (20430112121123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450207872 + ... + 450253248.

Almost surely, 2^{20430112121120} is an apocalyptic number.

20430112121120 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 20430112121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26129674312560).

20430112121120 is an abundant number, since it is smaller than the sum of its proper divisors (31829236504000).

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

20430112121120 is a wasteful number, since it uses less digits than its factorization.

20430112121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46567 (or 46559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 20430112121120 its reverse (2112121103402), we get a palindrome (22542233224522).

The spelling of 20430112121120 in words is "twenty trillion, four hundred thirty billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".