2112111120 has 80 divisors (see below), whose sum is σ = 7482913920. Its totient is φ = 482767872.

The previous prime is 2112111119. The next prime is 2112111121. The reversal of 2112111120 is 211112112.

It is an interprime number because it is at equal distance from previous prime (2112111119) and next prime (2112111121).

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

It is a super-2 number, since 2×2112111120² = 8922026766455308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2112111096 and 2112111105.

It is not an unprimeable number, because it can be changed into a prime (2112111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626925 + ... + 630284.

It is an arithmetic number, because the mean of its divisors is an integer number (93536424).

Almost surely, 2^2112111120 is an apocalyptic number.

2112111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112111120 is an abundant number, since it is smaller than the sum of its proper divisors (5370802800).

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

2112111120 is a wasteful number, since it uses less digits than its factorization.

2112111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257232 (or 1257226 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2112111120 is about 45957.7101257232. The cubic root of 2112111120 is about 1283.0362329430.

Adding to 2112111120 its reverse (211112112), we get a palindrome (2323223232).

The spelling of 2112111120 in words is "two billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".