312220320 has 96 divisors (see below), whose sum is σ = 987940800. Its totient is φ = 82882560.

The previous prime is 312220309. The next prime is 312220333. The reversal of 312220320 is 23022213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312220320.

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 15 ways as a sum of consecutive naturals, for example, 114331 + ... + 117029.

It is an arithmetic number, because the mean of its divisors is an integer number (10291050).

Almost surely, 2^312220320 is an apocalyptic number.

312220320 is a gapful number since it is divisible by the number (30) 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 312220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493970400).

312220320 is an abundant number, since it is smaller than the sum of its proper divisors (675720480).

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

312220320 is a wasteful number, since it uses less digits than its factorization.

312220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 312220320 is about 17669.7572139518. The cubic root of 312220320 is about 678.4018988392.

Adding to 312220320 its reverse (23022213), we get a palindrome (335242533).

The spelling of 312220320 in words is "three hundred twelve million, two hundred twenty thousand, three hundred twenty".