4312012800 has 288 divisors, whose sum is σ = 14502196800. Its totient is φ = 1130004480.

The previous prime is 4312012751. The next prime is 4312012801. The reversal of 4312012800 is 82102134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312012801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10290991 + ... + 10291409.

It is an arithmetic number, because the mean of its divisors is an integer number (50354850).

Almost surely, 2^4312012800 is an apocalyptic number.

4312012800 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 4312012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251098400).

4312012800 is an abundant number, since it is smaller than the sum of its proper divisors (10190184000).

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

4312012800 is a wasteful number, since it uses less digits than its factorization.

4312012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4312012800 is about 65665.9181006403. The cubic root of 4312012800 is about 1627.6462194106.

Adding to 4312012800 its reverse (82102134), we get a palindrome (4394114934).

The spelling of 4312012800 in words is "four billion, three hundred twelve million, twelve thousand, eight hundred".