2001224112 has 80 divisors (see below), whose sum is σ = 5580714240. Its totient is φ = 616059136.

The previous prime is 2001224111. The next prime is 2001224119. The reversal of 2001224112 is 2114221002.

It is a junction number, because it is equal to n+sod(n) for n = 2001224091 and 2001224100.

It is not an unprimeable number, because it can be changed into a prime (2001224111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763 + ... + 63269.

It is an arithmetic number, because the mean of its divisors is an integer number (69758928).

Almost surely, 2^2001224112 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 2001224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790357120).

2001224112 is an abundant number, since it is smaller than the sum of its proper divisors (3579490128).

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

2001224112 is a wasteful number, since it uses less digits than its factorization.

2001224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62570 (or 62564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2001224112 is about 44735.0434447090. The cubic root of 2001224112 is about 1260.1780448829.

Adding to 2001224112 its reverse (2114221002), we get a palindrome (4115445114).

The spelling of 2001224112 in words is "two billion, one million, two hundred twenty-four thousand, one hundred twelve".