222210120 has 128 divisors (see below), whose sum is σ = 737786880. Its totient is φ = 53088000.

The previous prime is 222210113. The next prime is 222210133. The reversal of 222210120 is 21012222.

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 = 222210096 and 222210105.

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 31 ways as a sum of consecutive naturals, for example, 92535 + ... + 94905.

It is an arithmetic number, because the mean of its divisors is an integer number (5763960).

Almost surely, 2^222210120 is an apocalyptic number.

222210120 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 222210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368893440).

222210120 is an abundant number, since it is smaller than the sum of its proper divisors (515576760).

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

222210120 is a wasteful number, since it uses less digits than its factorization.

222210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 222210120 is about 14906.7139235983. The cubic root of 222210120 is about 605.6958684792.

Adding to 222210120 its reverse (21012222), we get a palindrome (243222342).

The spelling of 222210120 in words is "two hundred twenty-two million, two hundred ten thousand, one hundred twenty".