2112134200 has 192 divisors, whose sum is σ = 5568393600. Its totient is φ = 738393600.

The previous prime is 2112134131. The next prime is 2112134201. The reversal of 2112134200 is 24312112.

2112134200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112134200² = 8922221757619280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112134201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7851666 + ... + 7851934.

It is an arithmetic number, because the mean of its divisors is an integer number (29002050).

Almost surely, 2^2112134200 is an apocalyptic number.

2112134200 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 2112134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784196800).

2112134200 is an abundant number, since it is smaller than the sum of its proper divisors (3456259400).

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

2112134200 is a wasteful number, since it uses less digits than its factorization.

2112134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2112134200 is about 45957.9612254504. The cubic root of 2112134200 is about 1283.0409063664.

Adding to 2112134200 its reverse (24312112), we get a palindrome (2136446312).

The spelling of 2112134200 in words is "two billion, one hundred twelve million, one hundred thirty-four thousand, two hundred".