312212424 has 64 divisors (see below), whose sum is σ = 804096000. Its totient is φ = 100975680.

The previous prime is 312212393. The next prime is 312212437. The reversal of 312212424 is 424212213.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 312212424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110469 + ... + 113259.

It is an arithmetic number, because the mean of its divisors is an integer number (12564000).

Almost surely, 2^312212424 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 312212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402048000).

312212424 is an abundant number, since it is smaller than the sum of its proper divisors (491883576).

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

312212424 is a wasteful number, since it uses less digits than its factorization.

312212424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2934 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 312212424 is about 17669.5337799275. The cubic root of 312212424 is about 678.3961799005.

Adding to 312212424 its reverse (424212213), we get a palindrome (736424637).

The spelling of 312212424 in words is "three hundred twelve million, two hundred twelve thousand, four hundred twenty-four".