2001222111312 has 160 divisors (see below), whose sum is σ = 5864907955200. Its totient is φ = 653181293952.

The previous prime is 2001222111289. The next prime is 2001222111323. The reversal of 2001222111312 is 2131112221002.

2001222111312 is a `hidden beast` number, since 20 + 0 + 1 + 222 + 111 + 312 = 666.

It is a super-2 number, since 2×2001222111312² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4626639 + ... + 5040657.

It is an arithmetic number, because the mean of its divisors is an integer number (36655674720).

Almost surely, 2^{2001222111312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001222111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932453977600).

2001222111312 is an abundant number, since it is smaller than the sum of its proper divisors (3863685843888).

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

2001222111312 is a wasteful number, since it uses less digits than its factorization.

2001222111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414270 (or 414258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2001222111312 its reverse (2131112221002), we get a palindrome (4132334332314).

The spelling of 2001222111312 in words is "two trillion, one billion, two hundred twenty-two million, one hundred eleven thousand, three hundred twelve".