20430330222120 has 512 divisors, whose sum is σ = 75726456422400. Its totient is φ = 4293958459392.

The previous prime is 20430330222067. The next prime is 20430330222131. The reversal of 20430330222120 is 2122203303402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3228047116 + ... + 3228053444.

It is an arithmetic number, because the mean of its divisors is an integer number (147903235200).

Almost surely, 2^{20430330222120} is an apocalyptic number.

20430330222120 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 20430330222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37863228211200).

20430330222120 is an abundant number, since it is smaller than the sum of its proper divisors (55296126200280).

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

20430330222120 is a wasteful number, since it uses less digits than its factorization.

20430330222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457 (or 7453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20430330222120 its reverse (2122203303402), we get a palindrome (22552533525522).

The spelling of 20430330222120 in words is "twenty trillion, four hundred thirty billion, three hundred thirty million, two hundred twenty-two thousand, one hundred twenty".