312404132303224 has 128 divisors (see below), whose sum is σ = 646430242147200. Its totient is φ = 140663435673600.

The previous prime is 312404132303209. The next prime is 312404132303227. The reversal of 312404132303224 is 422303231404213.

It is a self number, because there is not a number n which added to its sum of digits gives 312404132303224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404132303227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773491237 + ... + 773895019.

It is an arithmetic number, because the mean of its divisors is an integer number (5050236266775).

Almost surely, 2^{312404132303224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312404132303224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323215121073600).

312404132303224 is an abundant number, since it is smaller than the sum of its proper divisors (334026109843976).

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

312404132303224 is a wasteful number, since it uses less digits than its factorization.

312404132303224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404985 (or 404981 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 312404132303224 its reverse (422303231404213), we get a palindrome (734707363707437).

The spelling of 312404132303224 in words is "three hundred twelve trillion, four hundred four billion, one hundred thirty-two million, three hundred three thousand, two hundred twenty-four".