2005122222 has 64 divisors (see below), whose sum is σ = 4870195200. Its totient is φ = 608757120.

The previous prime is 2005122181. The next prime is 2005122227. The reversal of 2005122222 is 2222215002.

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 = 2005122195 and 2005122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005122227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6772 + ... + 63687.

It is an arithmetic number, because the mean of its divisors is an integer number (76096800).

Almost surely, 2^2005122222 is an apocalyptic number.

2005122222 is an abundant number, since it is smaller than the sum of its proper divisors (2865072978).

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

2005122222 is a wasteful number, since it uses less digits than its factorization.

2005122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70518 (or 70512 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2005122222 is about 44778.5911122715. The cubic root of 2005122222 is about 1260.9957321762.

Adding to 2005122222 its reverse (2222215002), we get a palindrome (4227337224).

The spelling of 2005122222 in words is "two billion, five million, one hundred twenty-two thousand, two hundred twenty-two".