2111120 has 40 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 767360.

The previous prime is 2111107. The next prime is 2111129. The reversal of 2111120 is 211112.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 2111098 and 2111107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

2^2111120 is an apocalyptic number.

2111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111120 is an abundant number, since it is smaller than the sum of its proper divisors (3245680).

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

2111120 is a wasteful number, since it uses less digits than its factorization.

2111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2417 counting only the distinct ones).

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

The square root of 2111120 is about 1452.9693733868. The cubic root of 2111120 is about 128.2835510891.

Adding to 2111120 its reverse (211112), we get a palindrome (2322232).

It can be divided in two parts, 211 and 1120, that added together give a palindrome (1331).

The spelling of 2111120 in words is "two million, one hundred eleven thousand, one hundred twenty".