222111120 has 480 divisors, whose sum is σ = 934333056. Its totient is φ = 43008000.

The previous prime is 222111091. The next prime is 222111133. The reversal of 222111120 is 21111222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 222111096 and 222111105.

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 95 ways as a sum of consecutive naturals, for example, 2199070 + ... + 2199170.

Almost surely, 2^222111120 is an apocalyptic number.

222111120 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 222111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467166528).

222111120 is an abundant number, since it is smaller than the sum of its proper divisors (712221936).

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

222111120 is a wasteful number, since it uses less digits than its factorization.

222111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 222111120 is about 14903.3929022891. The cubic root of 222111120 is about 605.6059043823.

Adding to 222111120 its reverse (21111222), we get a palindrome (243222342).

It can be divided in two parts, 2 and 22111120, that added together give a palindrome (22111122).

The spelling of 222111120 in words is "two hundred twenty-two million, one hundred eleven thousand, one hundred twenty".