2011220112000 has 512 divisors, whose sum is σ = 7291463961600. Its totient is φ = 486351360000.

The previous prime is 2011220111983. The next prime is 2011220112037. The reversal of 2011220112000 is 2110221102.

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

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, 221227455 + ... + 221236545.

It is an arithmetic number, because the mean of its divisors is an integer number (14241140550).

Almost surely, 2^{2011220112000} is an apocalyptic number.

2011220112000 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 2011220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645731980800).

2011220112000 is an abundant number, since it is smaller than the sum of its proper divisors (5280243849600).

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

2011220112000 is a wasteful number, since it uses less digits than its factorization.

2011220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9531 counting only the distinct ones).

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

Adding to 2011220112000 its reverse (2110221102), we get a palindrome (2013330333102).

The spelling of 2011220112000 in words is "two trillion, eleven billion, two hundred twenty million, one hundred twelve thousand".