123315403205205 has 48 divisors (see below), whose sum is σ = 226428479806464. Its totient is φ = 61869836152320.

The previous prime is 123315403205179. The next prime is 123315403205227. The reversal of 123315403205205 is 502502304513321.

123315403205205 is a `hidden beast` number, since 1 + 2 + 3 + 31 + 540 + 32 + 0 + 52 + 0 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-123315403205205 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123315403205205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37022661 + ... + 40215770.

It is an arithmetic number, because the mean of its divisors is an integer number (4717259995968).

Almost surely, 2^{123315403205205} is an apocalyptic number.

123315403205205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123315403205205 is a deficient number, since it is larger than the sum of its proper divisors (103113076601259).

123315403205205 is a wasteful number, since it uses less digits than its factorization.

123315403205205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77240546 (or 77240543 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 123315403205205 its reverse (502502304513321), we get a palindrome (625817707718526).

The spelling of 123315403205205 in words is "one hundred twenty-three trillion, three hundred fifteen billion, four hundred three million, two hundred five thousand, two hundred five".