222022022210120 has 256 divisors, whose sum is σ = 569349513216000. Its totient is φ = 77131098880000.

The previous prime is 222022022210069. The next prime is 222022022210137. The reversal of 222022022210120 is 21012220220222.

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 = 222022022210092 and 222022022210101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46731637745 + ... + 46731642495.

It is an arithmetic number, because the mean of its divisors is an integer number (2224021536000).

Almost surely, 2^{222022022210120} is an apocalyptic number.

222022022210120 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 222022022210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284674756608000).

222022022210120 is an abundant number, since it is smaller than the sum of its proper divisors (347327491005880).

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

222022022210120 is a wasteful number, since it uses less digits than its factorization.

222022022210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222022022210120 its reverse (21012220220222), we get a palindrome (243034242430342).

The spelling of 222022022210120 in words is "two hundred twenty-two trillion, twenty-two billion, twenty-two million, two hundred ten thousand, one hundred twenty".