312021324 has 108 divisors (see below), whose sum is σ = 845797680. Its totient is φ = 96868800.

The previous prime is 312021313. The next prime is 312021337. The reversal of 312021324 is 423120213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312021297 and 312021306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1003129 + ... + 1003439.

It is an arithmetic number, because the mean of its divisors is an integer number (7831460).

Almost surely, 2^312021324 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 312021324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422898840).

312021324 is an abundant number, since it is smaller than the sum of its proper divisors (533776356).

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

312021324 is a wasteful number, since it uses less digits than its factorization.

312021324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312021324 is about 17664.1253392292. The cubic root of 312021324 is about 678.2577400014.

Adding to 312021324 its reverse (423120213), we get a palindrome (735141537).

The spelling of 312021324 in words is "three hundred twelve million, twenty-one thousand, three hundred twenty-four".