312123033 has 12 divisors (see below), whose sum is σ = 451952020. Its totient is φ = 207570816.

The previous prime is 312123023. The next prime is 312123061. The reversal of 312123033 is 330321213.

It can be written as a sum of positive squares in 2 ways, for example, as 285373449 + 26749584 = 16893^2 + 5172^2 .

It is not a de Polignac number, because 312123033 - 2⁴ = 312123017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312122997 and 312123015.

It is not an unprimeable number, because it can be changed into a prime (312123023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38716 + ... + 46077.

Almost surely, 2^312123033 is an apocalyptic number.

It is an amenable number.

312123033 is a deficient number, since it is larger than the sum of its proper divisors (139828987).

312123033 is a wasteful number, since it uses less digits than its factorization.

312123033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85208 (or 85205 counting only the distinct ones).

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

The square root of 312123033 is about 17667.0040753943. The cubic root of 312123033 is about 678.3314287922.

Adding to 312123033 its reverse (330321213), we get a palindrome (642444246).

The spelling of 312123033 in words is "three hundred twelve million, one hundred twenty-three thousand, thirty-three".