2001122322012 has 144 divisors (see below), whose sum is σ = 5735384928000. Its totient is φ = 605048693760.

The previous prime is 2001122321983. The next prime is 2001122322019. The reversal of 2001122322012 is 2102232211002.

2001122322012 is a `hidden beast` number, since 200 + 11 + 223 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001122322019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4592289 + ... + 5009127.

It is an arithmetic number, because the mean of its divisors is an integer number (39829062000).

Almost surely, 2^{2001122322012} is an apocalyptic number.

2001122322012 is a gapful number since it is divisible by the number (22) 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 2001122322012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867692464000).

2001122322012 is an abundant number, since it is smaller than the sum of its proper divisors (3734262605988).

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

2001122322012 is a wasteful number, since it uses less digits than its factorization.

2001122322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417318 (or 417304 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2001122322012 its reverse (2102232211002), we get a palindrome (4103354533014).

The spelling of 2001122322012 in words is "two trillion, one billion, one hundred twenty-two million, three hundred twenty-two thousand, twelve".