312334120242243 has 24 divisors (see below), whose sum is σ = 492242276640816. Its totient is φ = 189262859860800.

The previous prime is 312334120242181. The next prime is 312334120242271. The reversal of 312334120242243 is 342242021433213.

312334120242243 is a `hidden beast` number, since 3 + 1 + 23 + 3 + 4 + 1 + 202 + 422 + 4 + 3 = 666.

It is not a de Polignac number, because 312334120242243 - 2²⁵ = 312334086687811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312334120242198 and 312334120242207.

It is not an unprimeable number, because it can be changed into a prime (312334120242143) 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, 253936288 + ... + 255163293.

It is an arithmetic number, because the mean of its divisors is an integer number (20510094860034).

Almost surely, 2^{312334120242243} is an apocalyptic number.

312334120242243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312334120242243 is a deficient number, since it is larger than the sum of its proper divisors (179908156398573).

312334120242243 is a wasteful number, since it uses less digits than its factorization.

312334120242243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509105795 (or 509105792 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312334120242243 its reverse (342242021433213), we get a palindrome (654576141675456).

The spelling of 312334120242243 in words is "three hundred twelve trillion, three hundred thirty-four billion, one hundred twenty million, two hundred forty-two thousand, two hundred forty-three".