2220002222112 has 288 divisors, whose sum is σ = 6726102364800. Its totient is φ = 693087031296.

The previous prime is 2220002222099. The next prime is 2220002222171. The reversal of 2220002222112 is 2112222000222.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 67197214 + ... + 67230242.

It is an arithmetic number, because the mean of its divisors is an integer number (23354522100).

Almost surely, 2^{2220002222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220002222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363051182400).

2220002222112 is an abundant number, since it is smaller than the sum of its proper divisors (4506100142688).

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

2220002222112 is a wasteful number, since it uses less digits than its factorization.

2220002222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33280 (or 33269 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2220002222112 its reverse (2112222000222), we get a palindrome (4332224222334).

It can be divided in two parts, 222000222 and 2112, that multiplied together give a palindrome (468864468864).

The spelling of 2220002222112 in words is "two trillion, two hundred twenty billion, two million, two hundred twenty-two thousand, one hundred twelve".