312123000034205 has 8 divisors (see below), whose sum is σ = 387463034525400. Its totient is φ = 241088110371136.

The previous prime is 312123000034193. The next prime is 312123000034207. The reversal of 312123000034205 is 502430000321213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2088273547396 + 310034726486809 = 1445086^2 + 17607803^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312123000034205 - 2¹⁴ = 312123000017821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312123000034207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1076286206870 + ... + 1076286207159.

It is an arithmetic number, because the mean of its divisors is an integer number (48432879315675).

Almost surely, 2^{312123000034205} is an apocalyptic number.

It is an amenable number.

312123000034205 is a deficient number, since it is larger than the sum of its proper divisors (75340034491195).

312123000034205 is a wasteful number, since it uses less digits than its factorization.

312123000034205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152572414063.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 312123000034205 its reverse (502430000321213), we get a palindrome (814553000355418).

The spelling of 312123000034205 in words is "three hundred twelve trillion, one hundred twenty-three billion, thirty-four thousand, two hundred five".