2002112200000 has 168 divisors, whose sum is σ = 5417306582688. Its totient is φ = 728040000000.

The previous prime is 2002112199907. The next prime is 2002112200003. The reversal of 2002112200000 is 22112002.

It is a super-2 number, since 2×2002112200000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2002112200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002112200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1744975 + ... + 2655025.

It is an arithmetic number, because the mean of its divisors is an integer number (32245872516).

Almost surely, 2^{2002112200000} is an apocalyptic number.

2002112200000 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 2002112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708653291344).

2002112200000 is an abundant number, since it is smaller than the sum of its proper divisors (3415194382688).

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

2002112200000 is an frugal number, since it uses more digits than its factorization.

2002112200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910099 (or 910069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002112200000 its reverse (22112002), we get a palindrome (2002134312002).

The spelling of 2002112200000 in words is "two trillion, two billion, one hundred twelve million, two hundred thousand".