2001222210112 has 112 divisors (see below), whose sum is σ = 4219699968000. Its totient is φ = 938413596672.

The previous prime is 2001222210109. The next prime is 2001222210131. The reversal of 2001222210112 is 2110122221002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 727980514 + ... + 727983262.

Almost surely, 2^{2001222210112} 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 2001222210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109849984000).

2001222210112 is an abundant number, since it is smaller than the sum of its proper divisors (2218477757888).

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

2001222210112 is a wasteful number, since it uses less digits than its factorization.

2001222210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2001222210112 its reverse (2110122221002), we get a palindrome (4111344431114).

The spelling of 2001222210112 in words is "two trillion, one billion, two hundred twenty-two million, two hundred ten thousand, one hundred twelve".