2001211120 has 80 divisors (see below), whose sum is σ = 4915935360. Its totient is φ = 756396032.

The previous prime is 2001211111. The next prime is 2001211127. The reversal of 2001211120 is 211121002.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 2001211097 and 2001211106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001211127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99864 + ... + 118216.

It is an arithmetic number, because the mean of its divisors is an integer number (61449192).

Almost surely, 2^2001211120 is an apocalyptic number.

2001211120 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 2001211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457967680).

2001211120 is an abundant number, since it is smaller than the sum of its proper divisors (2914724240).

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

2001211120 is a wasteful number, since it uses less digits than its factorization.

2001211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18442 (or 18436 counting only the distinct ones).

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

The square root of 2001211120 is about 44734.8982339292. The cubic root of 2001211120 is about 1260.1753178406.

Adding to 2001211120 its reverse (211121002), we get a palindrome (2212332122).

The spelling of 2001211120 in words is "two billion, one million, two hundred eleven thousand, one hundred twenty".