2001211120000 has 320 divisors, whose sum is σ = 5263618852800. Its totient is φ = 756396032000.

The previous prime is 2001211119977. The next prime is 2001211120003. The reversal of 2001211120000 is 211121002.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001211120003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109030824 + ... + 109049176.

It is an arithmetic number, because the mean of its divisors is an integer number (16448808915).

Almost surely, 2^{2001211120000} is an apocalyptic number.

2001211120000 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 2001211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631809426400).

2001211120000 is an abundant number, since it is smaller than the sum of its proper divisors (3262407732800).

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

2001211120000 is an equidigital number, since it uses as much as digits as its factorization.

2001211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18463 (or 18436 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001211120000 its reverse (211121002), we get a palindrome (2001422241002).

The spelling of 2001211120000 in words is "two trillion, one billion, two hundred eleven million, one hundred twenty thousand".