2112332020200 has 288 divisors, whose sum is σ = 7306362999000. Its totient is φ = 546505850880.

The previous prime is 2112332020171. The next prime is 2112332020207. The reversal of 2112332020200 is 20202332112.

2112332020200 is a `hidden beast` number, since 2 + 1 + 123 + 320 + 20 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 414455263524 + 1697876756676 = 643782^2 + 1303026^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2112332020207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23464876 + ... + 23554724.

Almost surely, 2^{2112332020200} is an apocalyptic number.

2112332020200 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 2112332020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653181499500).

2112332020200 is an abundant number, since it is smaller than the sum of its proper divisors (5194030978800).

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

2112332020200 is a wasteful number, since it uses less digits than its factorization.

2112332020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90261 (or 90249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2112332020200 its reverse (20202332112), we get a palindrome (2132534352312).

The spelling of 2112332020200 in words is "two trillion, one hundred twelve billion, three hundred thirty-two million, twenty thousand, two hundred".