2112323200 has 96 divisors (see below), whose sum is σ = 5619601260. Its totient is φ = 779919360.

The previous prime is 2112323179. The next prime is 2112323203. The reversal of 2112323200 is 23232112.

It can be written as a sum of positive squares in 6 ways, for example, as 762201664 + 1350121536 = 27608^2 + 36744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2112323203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16212 + ... + 66988.

Almost surely, 2^2112323200 is an apocalyptic number.

2112323200 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 2112323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809800630).

2112323200 is an abundant number, since it is smaller than the sum of its proper divisors (3507278060).

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

2112323200 is a wasteful number, since it uses less digits than its factorization.

2112323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50814 (or 50797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2112323200 is about 45960.0174064371. The cubic root of 2112323200 is about 1283.0791753202.

Adding to 2112323200 its reverse (23232112), we get a palindrome (2135555312).

The spelling of 2112323200 in words is "two billion, one hundred twelve million, three hundred twenty-three thousand, two hundred".