2002213122112 has 168 divisors, whose sum is σ = 4682209523040. Its totient is φ = 846899988480.

The previous prime is 2002213122101. The next prime is 2002213122197. The reversal of 2002213122112 is 2112213122002.

It is a self number, because there is not a number n which added to its sum of digits gives 2002213122112.

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, 304793964 + ... + 304800532.

It is an arithmetic number, because the mean of its divisors is an integer number (27870294780).

Almost surely, 2^{2002213122112} 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 2002213122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341104761520).

2002213122112 is an abundant number, since it is smaller than the sum of its proper divisors (2679996400928).

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

2002213122112 is a wasteful number, since it uses less digits than its factorization.

2002213122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2002213122112 its reverse (2112213122002), we get a palindrome (4114426244114).

The spelling of 2002213122112 in words is "two trillion, two billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred twelve".