2112314203200 has 336 divisors, whose sum is σ = 7179326743680. Its totient is φ = 543086100480.

The previous prime is 2112314203199. The next prime is 2112314203247. The reversal of 2112314203200 is 23024132112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101187964 + ... + 101208836.

It is an arithmetic number, because the mean of its divisors is an integer number (21367043880).

Almost surely, 2^{2112314203200} is an apocalyptic number.

2112314203200 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 2112314203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589663371840).

2112314203200 is an abundant number, since it is smaller than the sum of its proper divisors (5067012540480).

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

2112314203200 is a wasteful number, since it uses less digits than its factorization.

2112314203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21654 (or 21639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2112314203200 its reverse (23024132112), we get a palindrome (2135338335312).

The spelling of 2112314203200 in words is "two trillion, one hundred twelve billion, three hundred fourteen million, two hundred three thousand, two hundred".