123345203112135 has 192 divisors, whose sum is σ = 227885814374400. Its totient is φ = 63981923950080.

The previous prime is 123345203112113. The next prime is 123345203112151. The reversal of 123345203112135 is 531211302543321.

123345203112135 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 4 + 520 + 3 + 1 + 121 + 3 + 5 = 666.

It is not a de Polignac number, because 123345203112135 - 2⁷ = 123345203112007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123345203112135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2462594062 + ... + 2462644148.

It is an arithmetic number, because the mean of its divisors is an integer number (1186905283200).

Almost surely, 2^{123345203112135} is an apocalyptic number.

123345203112135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123345203112135 is a deficient number, since it is larger than the sum of its proper divisors (104540611262265).

123345203112135 is a wasteful number, since it uses less digits than its factorization.

123345203112135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50540 (or 50528 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 123345203112135 its reverse (531211302543321), we get a palindrome (654556505655456).

The spelling of 123345203112135 in words is "one hundred twenty-three trillion, three hundred forty-five billion, two hundred three million, one hundred twelve thousand, one hundred thirty-five".