2112043320400 has 120 divisors (see below), whose sum is σ = 5483956363704. Its totient is φ = 777055641600.

The previous prime is 2112043320391. The next prime is 2112043320427. The reversal of 2112043320400 is 40233402112.

It can be written as a sum of positive squares in 12 ways, for example, as 1439059353664 + 672983966736 = 1199608^2 + 820356^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 738492 + ... + 2183908.

Almost surely, 2^{2112043320400} is an apocalyptic number.

2112043320400 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 2112043320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741978181852).

2112043320400 is an abundant number, since it is smaller than the sum of its proper divisors (3371913043304).

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

2112043320400 is a wasteful number, since it uses less digits than its factorization.

2112043320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445729 (or 1445718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2112043320400 its reverse (40233402112), we get a palindrome (2152276722512).

The spelling of 2112043320400 in words is "two trillion, one hundred twelve billion, forty-three million, three hundred twenty thousand, four hundred".