2111120000 has 160 divisors (see below), whose sum is σ = 5735664000. Its totient is φ = 767360000.

The previous prime is 2111119999. The next prime is 2111120003. The reversal of 2111120000 is 211112.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2111120000.

It is not an unprimeable number, because it can be changed into a prime (2111120003) 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, 878801 + ... + 881199.

It is an arithmetic number, because the mean of its divisors is an integer number (35847900).

Almost surely, 2^2111120000 is an apocalyptic number.

2111120000 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 2111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867832000).

2111120000 is an abundant number, since it is smaller than the sum of its proper divisors (3624544000).

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

2111120000 is an equidigital number, since it uses as much as digits as its factorization.

2111120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2111120000 is about 45946.9259036989. The cubic root of 2111120000 is about 1282.8355108914.

Adding to 2111120000 its reverse (211112), we get a palindrome (2111331112).

Multiplying 2111120000 by its reverse (211112), we get a square (445682765440000 = 21111200²).

2111120000 divided by its reverse (211112) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 211 and 1120000, that added together give a palindrome (1120211).

The spelling of 2111120000 in words is "two billion, one hundred eleven million, one hundred twenty thousand".