222120442101220 has 144 divisors (see below), whose sum is σ = 525349964068272. Its totient is φ = 78414149975040.

The previous prime is 222120442101211. The next prime is 222120442101221. The reversal of 222120442101220 is 22101244021222.

It can be written as a sum of positive squares in 8 ways, for example, as 16129974893796 + 205990467207424 = 4016214^2 + 14352368^2 .

It is not an unprimeable number, because it can be changed into a prime (222120442101221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320534710 + ... + 321226930.

It is an arithmetic number, because the mean of its divisors is an integer number (3648263639363).

Almost surely, 2^{222120442101220} is an apocalyptic number.

222120442101220 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 222120442101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262674982034136).

222120442101220 is an abundant number, since it is smaller than the sum of its proper divisors (303229521967052).

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

222120442101220 is a wasteful number, since it uses less digits than its factorization.

222120442101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694622 (or 694597 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 222120442101220 its reverse (22101244021222), we get a palindrome (244221686122442).

The spelling of 222120442101220 in words is "two hundred twenty-two trillion, one hundred twenty billion, four hundred forty-two million, one hundred one thousand, two hundred twenty".