222120322224 has 160 divisors (see below), whose sum is σ = 610252816320. Its totient is φ = 69485101056.

The previous prime is 222120322223. The next prime is 222120322283. The reversal of 222120322224 is 422223021222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 222120322194 and 222120322203.

It is not an unprimeable number, because it can be changed into a prime (222120322223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79984324 + ... + 79987100.

It is an arithmetic number, because the mean of its divisors is an integer number (3814080102).

Almost surely, 2^222120322224 is an apocalyptic number.

222120322224 is a gapful number since it is divisible by the number (24) 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 222120322224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305126408160).

222120322224 is an abundant number, since it is smaller than the sum of its proper divisors (388132494096).

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

222120322224 is a wasteful number, since it uses less digits than its factorization.

222120322224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 222120322224 its reverse (422223021222), we get a palindrome (644343343446).

The spelling of 222120322224 in words is "two hundred twenty-two billion, one hundred twenty million, three hundred twenty-two thousand, two hundred twenty-four".