2002220122000 has 320 divisors, whose sum is σ = 5617369465344. Its totient is φ = 676059955200.

The previous prime is 2002220121997. The next prime is 2002220122013. The reversal of 2002220122000 is 2210222002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391591444 + ... + 391596556.

Almost surely, 2^{2002220122000} is an apocalyptic number.

2002220122000 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 2002220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808684732672).

2002220122000 is an abundant number, since it is smaller than the sum of its proper divisors (3615149343344).

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

2002220122000 is a wasteful number, since it uses less digits than its factorization.

2002220122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2002220122000 its reverse (2210222002), we get a palindrome (2004430344002).

The spelling of 2002220122000 in words is "two trillion, two billion, two hundred twenty million, one hundred twenty-two thousand".