312022320 has 80 divisors (see below), whose sum is σ = 983172192. Its totient is φ = 81838080.

The previous prime is 312022307. The next prime is 312022357. The reversal of 312022320 is 23220213.

It is a tau number, because it is divible by the number of its divisors (80).

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 312022320.

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, 3984 + ... + 25296.

Almost surely, 2^312022320 is an apocalyptic number.

312022320 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 312022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491586096).

312022320 is an abundant number, since it is smaller than the sum of its proper divisors (671149872).

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

312022320 is a wasteful number, since it uses less digits than its factorization.

312022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21390 (or 21384 counting only the distinct ones).

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

The square root of 312022320 is about 17664.1535319415. The cubic root of 312022320 is about 678.2584616871.

Adding to 312022320 its reverse (23220213), we get a palindrome (335242533).

The spelling of 312022320 in words is "three hundred twelve million, twenty-two thousand, three hundred twenty".