2112133120 has 48 divisors (see below), whose sum is σ = 5067906480. Its totient is φ = 844849152.

The previous prime is 2112133073. The next prime is 2112133129. The reversal of 2112133120 is 213312112.

It is a super-2 number, since 2×2112133120² = 8922212633201868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2112133094 and 2112133103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112133129) 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 3 ways as a sum of consecutive naturals, for example, 92892 + ... + 113371.

It is an arithmetic number, because the mean of its divisors is an integer number (105581385).

Almost surely, 2^2112133120 is an apocalyptic number.

2112133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112133120 is an abundant number, since it is smaller than the sum of its proper divisors (2955773360).

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

2112133120 is an equidigital number, since it uses as much as digits as its factorization.

2112133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206290 (or 206270 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2112133120 is about 45957.9494755804. The cubic root of 2112133120 is about 1283.0406876801.

Adding to 2112133120 its reverse (213312112), we get a palindrome (2325445232).

The spelling of 2112133120 in words is "two billion, one hundred twelve million, one hundred thirty-three thousand, one hundred twenty".