220022221121120 has 192 divisors, whose sum is σ = 600462345865536. Its totient is φ = 75295606702080.

The previous prime is 220022221121113. The next prime is 220022221121149. The reversal of 220022221121120 is 21121122220022.

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 = 220022221121092 and 220022221121101.

It is a congruent number.

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, 376011494 + ... + 376596186.

It is an arithmetic number, because the mean of its divisors is an integer number (3127408051383).

Almost surely, 2^{220022221121120} is an apocalyptic number.

220022221121120 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 220022221121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300231172932768).

220022221121120 is an abundant number, since it is smaller than the sum of its proper divisors (380440124744416).

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

220022221121120 is a wasteful number, since it uses less digits than its factorization.

220022221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597313 (or 597305 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220022221121120 its reverse (21121122220022), we get a palindrome (241143343341142).

The spelling of 220022221121120 in words is "two hundred twenty trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".