222117120 has 144 divisors (see below), whose sum is σ = 788329920. Its totient is φ = 59222016.

The previous prime is 222117109. The next prime is 222117149. The reversal of 222117120 is 21711222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222117093 and 222117102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31347 + ... + 37773.

Almost surely, 2^222117120 is an apocalyptic number.

222117120 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 222117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394164960).

222117120 is an abundant number, since it is smaller than the sum of its proper divisors (566212800).

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

222117120 is an equidigital number, since it uses as much as digits as its factorization.

222117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 222117120 is about 14903.5941973740. The cubic root of 222117120 is about 605.6113575127.

Adding to 222117120 its reverse (21711222), we get a palindrome (243828342).

The spelling of 222117120 in words is "two hundred twenty-two million, one hundred seventeen thousand, one hundred twenty".