2002111212000 has 384 divisors, whose sum is σ = 6630149635200. Its totient is φ = 528128409600.

The previous prime is 2002111211977. The next prime is 2002111212011. The reversal of 2002111212000 is 2121112002.

It is a super-2 number, since 2×2002111212000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 459513822 + ... + 459518178.

It is an arithmetic number, because the mean of its divisors is an integer number (17266014675).

Almost surely, 2^{2002111212000} is an apocalyptic number.

2002111212000 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 2002111212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315074817600).

2002111212000 is an abundant number, since it is smaller than the sum of its proper divisors (4628038423200).

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

2002111212000 is a wasteful number, since it uses less digits than its factorization.

2002111212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002111212000 its reverse (2121112002), we get a palindrome (2004232324002).

The spelling of 2002111212000 in words is "two trillion, two billion, one hundred eleven million, two hundred twelve thousand".