2001022112000 has 144 divisors (see below), whose sum is σ = 4986674238000. Its totient is φ = 800107315200.

The previous prime is 2001022111999. The next prime is 2001022112021. The reversal of 2001022112000 is 2112201002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1397653586176 + 603368525824 = 1182224^2 + 776768^2 .

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, 97557746 + ... + 97578254.

Almost surely, 2^{2001022112000} is an apocalyptic number.

2001022112000 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 2001022112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493337119000).

2001022112000 is an abundant number, since it is smaller than the sum of its proper divisors (2985652126000).

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

2001022112000 is an equidigital number, since it uses as much as digits as its factorization.

2001022112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23589 (or 23565 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001022112000 its reverse (2112201002), we get a palindrome (2003134313002).

The spelling of 2001022112000 in words is "two trillion, one billion, twenty-two million, one hundred twelve thousand".