222002010220120 has 128 divisors (see below), whose sum is σ = 549532716768000. Its totient is φ = 80202639937536.

The previous prime is 222002010220057. The next prime is 222002010220171. The reversal of 222002010220120 is 21022010200222.

It is a junction number, because it is equal to n+sod(n) for n = 222002010220094 and 222002010220103.

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, 82976722 + ... + 85610398.

It is an arithmetic number, because the mean of its divisors is an integer number (4293224349750).

Almost surely, 2^{222002010220120} is an apocalyptic number.

222002010220120 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 222002010220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274766358384000).

222002010220120 is an abundant number, since it is smaller than the sum of its proper divisors (327530706547880).

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

222002010220120 is a wasteful number, since it uses less digits than its factorization.

222002010220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637197 (or 2637193 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222002010220120 its reverse (21022010200222), we get a palindrome (243024020420342).

The spelling of 222002010220120 in words is "two hundred twenty-two trillion, two billion, ten million, two hundred twenty thousand, one hundred twenty".