222013122320220 has 384 divisors, whose sum is σ = 778554165215232. Its totient is φ = 45922742937600.

The previous prime is 222013122320201. The next prime is 222013122320221. The reversal of 222013122320220 is 22023221310222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222013122320221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11149144984 + ... + 11149164896.

It is an arithmetic number, because the mean of its divisors is an integer number (2027484805248).

Almost surely, 2^{222013122320220} is an apocalyptic number.

222013122320220 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 222013122320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389277082607616).

222013122320220 is an abundant number, since it is smaller than the sum of its proper divisors (556541042895012).

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

222013122320220 is a wasteful number, since it uses less digits than its factorization.

222013122320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30801 (or 30799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 222013122320220 its reverse (22023221310222), we get a palindrome (244036343630442).

The spelling of 222013122320220 in words is "two hundred twenty-two trillion, thirteen billion, one hundred twenty-two million, three hundred twenty thousand, two hundred twenty".