2002122122 has 64 divisors (see below), whose sum is σ = 4083609600. Its totient is φ = 710873280.

The previous prime is 2002122049. The next prime is 2002122139. The reversal of 2002122122 is 2212212002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2002122097 and 2002122106.

It is an unprimeable number.

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, 151829 + ... + 164487.

It is an arithmetic number, because the mean of its divisors is an integer number (63806400).

Almost surely, 2^2002122122 is an apocalyptic number.

2002122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002122122 is an abundant number, since it is smaller than the sum of its proper divisors (2081487478).

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

2002122122 is a wasteful number, since it uses less digits than its factorization.

2002122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2002122122 is about 44745.0793048800. The cubic root of 2002122122 is about 1260.3665100749.

Adding to 2002122122 its reverse (2212212002), we get a palindrome (4214334124).

The spelling of 2002122122 in words is "two billion, two million, one hundred twenty-two thousand, one hundred twenty-two".