2001111112000 has 896 divisors, whose sum is σ = 6684950458368. Its totient is φ = 573060096000.

The previous prime is 2001111111991. The next prime is 2001111112009. The reversal of 2001111112000 is 2111111002.

It is an interprime number because it is at equal distance from previous prime (2001111111991) and next prime (2001111112009).

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 (2001111112009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2266263559 + ... + 2266264441.

It is an arithmetic number, because the mean of its divisors is an integer number (7460882208).

Almost surely, 2^{2001111112000} is an apocalyptic number.

2001111112000 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 2001111112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342475229184).

2001111112000 is an abundant number, since it is smaller than the sum of its proper divisors (4683839346368).

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

2001111112000 is a wasteful number, since it uses less digits than its factorization.

2001111112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2001111112000 its reverse (2111111002), we get a palindrome (2003222223002).

The spelling of 2001111112000 in words is "two trillion, one billion, one hundred eleven million, one hundred twelve thousand".