123134401432305 has 24 divisors (see below), whose sum is σ = 213465306225600. Its totient is φ = 65661728843040.

The previous prime is 123134401432303. The next prime is 123134401432319. The reversal of 123134401432305 is 503234104431321.

123134401432305 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 344 + 0 + 1 + 4 + 3 + 2 + 305 = 666.

It is not a de Polignac number, because 123134401432305 - 2¹ = 123134401432303 is a prime.

It is a super-2 number, since 2×123134401432305² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123134401432305.

It is not an unprimeable number, because it can be changed into a prime (123134401432303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207031431 + ... + 207625340.

It is an arithmetic number, because the mean of its divisors is an integer number (8894387759400).

Almost surely, 2^{123134401432305} is an apocalyptic number.

123134401432305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123134401432305 is a deficient number, since it is larger than the sum of its proper divisors (90330904793295).

123134401432305 is a wasteful number, since it uses less digits than its factorization.

123134401432305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414663381 (or 414663378 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 123134401432305 its reverse (503234104431321), we get a palindrome (626368505863626).

The spelling of 123134401432305 in words is "one hundred twenty-three trillion, one hundred thirty-four billion, four hundred one million, four hundred thirty-two thousand, three hundred five".