312012042240033 has 6 divisors (see below), whose sum is σ = 450684061013394. Its totient is φ = 208008028160016.

The previous prime is 312012042240029. The next prime is 312012042240089. The reversal of 312012042240033 is 330042240210213.

312012042240033 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 1 + 204 + 22 + 400 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 302515857638289 + 9496184601744 = 17392983^2 + 3081588^2 .

It is not a de Polignac number, because 312012042240033 - 2² = 312012042240029 is a prime.

It is a super-2 number, since 2×312012042240033² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312012042239979 and 312012042240006.

It is not an unprimeable number, because it can be changed into a prime (312012042244033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17334002346660 + ... + 17334002346677.

It is an arithmetic number, because the mean of its divisors is an integer number (75114010168899).

Almost surely, 2^{312012042240033} is an apocalyptic number.

It is an amenable number.

312012042240033 is a deficient number, since it is larger than the sum of its proper divisors (138672018773361).

312012042240033 is a wasteful number, since it uses less digits than its factorization.

312012042240033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34668004693343 (or 34668004693340 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312012042240033 its reverse (330042240210213), we get a palindrome (642054282450246).

The spelling of 312012042240033 in words is "three hundred twelve trillion, twelve billion, forty-two million, two hundred forty thousand, thirty-three".