222221122101200 has 120 divisors (see below), whose sum is σ = 543976723817208. Its totient is φ = 87208558295040.

The previous prime is 222221122101149. The next prime is 222221122101269. The reversal of 222221122101200 is 2101221122222.

It can be written as a sum of positive squares in 12 ways, for example, as 125573898112576 + 96647223988624 = 11205976^2 + 9830932^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753152102 + ... + 753447098.

Almost surely, 2^{222221122101200} is an apocalyptic number.

222221122101200 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 222221122101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271988361908604).

222221122101200 is an abundant number, since it is smaller than the sum of its proper divisors (321755601716008).

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

222221122101200 is a wasteful number, since it uses less digits than its factorization.

222221122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330601 (or 330590 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222221122101200 its reverse (2101221122222), we get a palindrome (224322343223422).

The spelling of 222221122101200 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand, two hundred".