222021212221120 has 224 divisors, whose sum is σ = 571554858147840. Its totient is φ = 81660689940480.

The previous prime is 222021212221117. The next prime is 222021212221147. The reversal of 222021212221120 is 21122212120222.

It is a super-2 number, since 2×222021212221120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222021212221091 and 222021212221100.

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, 4129908801 + ... + 4129962559.

It is an arithmetic number, because the mean of its divisors is an integer number (2551584188160).

Almost surely, 2^{222021212221120} is an apocalyptic number.

222021212221120 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 222021212221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285777429073920).

222021212221120 is an abundant number, since it is smaller than the sum of its proper divisors (349533645926720).

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

222021212221120 is a wasteful number, since it uses less digits than its factorization.

222021212221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57603 (or 57593 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 222021212221120 its reverse (21122212120222), we get a palindrome (243143424341342).

The spelling of 222021212221120 in words is "two hundred twenty-two trillion, twenty-one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".