4312124315200 has 336 divisors, whose sum is σ = 11692221024960. Its totient is φ = 1555508551680.

The previous prime is 4312124315183. The next prime is 4312124315201. The reversal of 4312124315200 is 25134212134.

It is a super-2 number, since 2×4312124315200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4312124315201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200022822 + ... + 200044378.

It is an arithmetic number, because the mean of its divisors is an integer number (34798276860).

Almost surely, 2^{4312124315200} is an apocalyptic number.

4312124315200 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 4312124315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846110512480).

4312124315200 is an abundant number, since it is smaller than the sum of its proper divisors (7380096709760).

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

4312124315200 is a wasteful number, since it uses less digits than its factorization.

4312124315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21814 (or 21799 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 4312124315200 its reverse (25134212134), we get a palindrome (4337258527334).

The spelling of 4312124315200 in words is "four trillion, three hundred twelve billion, one hundred twenty-four million, three hundred fifteen thousand, two hundred".