221020222222120 has 64 divisors (see below), whose sum is σ = 503423395151040. Its totient is φ = 87319262592000.

The previous prime is 221020222222097. The next prime is 221020222222159. The reversal of 221020222222120 is 21222222020122.

It is a super-2 number, since 2×221020222222120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221020222222091 and 221020222222100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3235920 + ... + 21272320.

It is an arithmetic number, because the mean of its divisors is an integer number (7865990549235).

Almost surely, 2^{221020222222120} is an apocalyptic number.

221020222222120 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 221020222222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251711697575520).

221020222222120 is an abundant number, since it is smaller than the sum of its proper divisors (282403172928920).

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

221020222222120 is a wasteful number, since it uses less digits than its factorization.

221020222222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18040186 (or 18040182 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 221020222222120 its reverse (21222222020122), we get a palindrome (242242444242242).

The spelling of 221020222222120 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".