2011120000 has 160 divisors (see below), whose sum is σ = 5229013680. Its totient is φ = 768768000.

The previous prime is 2011119967. The next prime is 2011120003. The reversal of 2011120000 is 211102.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1839454 + ... + 1840546.

Almost surely, 2^2011120000 is an apocalyptic number.

2011120000 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 2011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614506840).

2011120000 is an abundant number, since it is smaller than the sum of its proper divisors (3217893680).

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

2011120000 is an equidigital number, since it uses as much as digits as its factorization.

2011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2011120000 is about 44845.5125960224. The cubic root of 2011120000 is about 1262.2517892594.

Adding to 2011120000 its reverse (211102), we get a palindrome (2011331102).

The spelling of 2011120000 in words is "two billion, eleven million, one hundred twenty thousand".