2002122111200 has 288 divisors, whose sum is σ = 5003697742848. Its totient is φ = 782127360000.

The previous prime is 2002122111193. The next prime is 2002122111203. The reversal of 2002122111200 is 21112212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002122111203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3172934885 + ... + 3172935515.

It is an arithmetic number, because the mean of its divisors is an integer number (17373950496).

Almost surely, 2^{2002122111200} is an apocalyptic number.

2002122111200 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 2002122111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501848871424).

2002122111200 is an abundant number, since it is smaller than the sum of its proper divisors (3001575631648).

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

2002122111200 is a wasteful number, since it uses less digits than its factorization.

2002122111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2002122111200 its reverse (21112212002), we get a palindrome (2023234323202).

The spelling of 2002122111200 in words is "two trillion, two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".