123301321055505 has 48 divisors (see below), whose sum is σ = 213948507561984. Its totient is φ = 65691105701760.

The previous prime is 123301321055447. The next prime is 123301321055519. The reversal of 123301321055505 is 505550123103321.

123301321055505 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 132 + 10 + 5 + 5 + 505 = 666.

It is not a de Polignac number, because 123301321055505 - 2¹¹ = 123301321053457 is a prime.

It is a super-3 number, since 3×123301321055505³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123301321055505.

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 47 ways as a sum of consecutive naturals, for example, 1104428547 + ... + 1104540183.

It is an arithmetic number, because the mean of its divisors is an integer number (4457260574208).

Almost surely, 2^{123301321055505} is an apocalyptic number.

123301321055505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123301321055505 is a deficient number, since it is larger than the sum of its proper divisors (90647186506479).

123301321055505 is a wasteful number, since it uses less digits than its factorization.

123301321055505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137406 (or 137403 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 123301321055505 its reverse (505550123103321), we get a palindrome (628851444158826).

The spelling of 123301321055505 in words is "one hundred twenty-three trillion, three hundred one billion, three hundred twenty-one million, fifty-five thousand, five hundred five".