220000020221120 has 224 divisors, whose sum is σ = 533491413835968. Its totient is φ = 86393814515712.

The previous prime is 220000020221117. The next prime is 220000020221143. The reversal of 220000020221120 is 21122020000022.

It is a junction number, because it is equal to n+sod(n) for n = 220000020221095 and 220000020221104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15991853282 + ... + 15991867038.

It is an arithmetic number, because the mean of its divisors is an integer number (2381658097482).

Almost surely, 2^{220000020221120} is an apocalyptic number.

220000020221120 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 220000020221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266745706917984).

220000020221120 is an abundant number, since it is smaller than the sum of its proper divisors (313491393614848).

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

220000020221120 is a wasteful number, since it uses less digits than its factorization.

220000020221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16307 (or 16297 counting only the distinct ones).

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

Adding to 220000020221120 its reverse (21122020000022), we get a palindrome (241122040221142).

The spelling of 220000020221120 in words is "two hundred twenty trillion, twenty million, two hundred twenty-one thousand, one hundred twenty".