312303120 has 80 divisors (see below), whose sum is σ = 969848640. Its totient is φ = 83133952.

The previous prime is 312303113. The next prime is 312303137. The reversal of 312303120 is 21303213.

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 312303120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243922 + ... + 245198.

It is an arithmetic number, because the mean of its divisors is an integer number (12123108).

Almost surely, 2^312303120 is an apocalyptic number.

312303120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312303120 is an abundant number, since it is smaller than the sum of its proper divisors (657545520).

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

312303120 is a wasteful number, since it uses less digits than its factorization.

312303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 312303120 is about 17672.1000449862. The cubic root of 312303120 is about 678.4618636662.

Adding to 312303120 its reverse (21303213), we get a palindrome (333606333).

The spelling of 312303120 in words is "three hundred twelve million, three hundred three thousand, one hundred twenty".