4312012320200 has 144 divisors (see below), whose sum is σ = 11120720064300. Its totient is φ = 1553294745600.

The previous prime is 4312012320179. The next prime is 4312012320227. The reversal of 4312012320200 is 20232102134.

It can be written as a sum of positive squares in 18 ways, for example, as 1642585709956 + 2669426610244 = 1281634^2 + 1633838^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169985 + ... + 2941584.

Almost surely, 2^{4312012320200} is an apocalyptic number.

4312012320200 is a gapful number since it is divisible by the number (40) 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 4312012320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560360032150).

4312012320200 is an abundant number, since it is smaller than the sum of its proper divisors (6808707744100).

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

4312012320200 is a wasteful number, since it uses less digits than its factorization.

4312012320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111652 (or 3111630 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4312012320200 its reverse (20232102134), we get a palindrome (4332244422334).

The spelling of 4312012320200 in words is "four trillion, three hundred twelve billion, twelve million, three hundred twenty thousand, two hundred".