312123330 has 48 divisors (see below), whose sum is σ = 819579384. Its totient is φ = 82406400.

The previous prime is 312123311. The next prime is 312123337. The reversal of 312123330 is 33321213.

312123330 is a `hidden beast` number, since 312 + 1 + 23 + 330 = 666.

312123330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 299739969 + 12383361 = 17313^2 + 3519^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312123337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8079 + ... + 26258.

Almost surely, 2^312123330 is an apocalyptic number.

312123330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312123330 is an abundant number, since it is smaller than the sum of its proper divisors (507456054).

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

312123330 is a wasteful number, since it uses less digits than its factorization.

312123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34451 (or 34448 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 312123330 is about 17667.0124808922. The cubic root of 312123330 is about 678.3316439471.

Adding to 312123330 its reverse (33321213), we get a palindrome (345444543).

The spelling of 312123330 in words is "three hundred twelve million, one hundred twenty-three thousand, three hundred thirty".