222000002120 has 96 divisors (see below), whose sum is σ = 542247673320. Its totient is φ = 81761771520.

The previous prime is 222000002083. The next prime is 222000002149. The reversal of 222000002120 is 21200000222.

It can be written as a sum of positive squares in 12 ways, for example, as 7058352196 + 214941649924 = 84014^2 + 463618^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642360 + ... + 2725080.

Almost surely, 2^222000002120 is an apocalyptic number.

222000002120 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 222000002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271123836660).

222000002120 is an abundant number, since it is smaller than the sum of its proper divisors (320247671200).

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

222000002120 is a wasteful number, since it uses less digits than its factorization.

222000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83155 (or 83138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 222000002120 its reverse (21200000222), we get a palindrome (243200002342).

The spelling of 222000002120 in words is "two hundred twenty-two billion, two thousand, one hundred twenty".