123552105032205 has 12 divisors (see below), whose sum is σ = 214156982055900. Its totient is φ = 65894456017152.

The previous prime is 123552105032197. The next prime is 123552105032227. The reversal of 123552105032205 is 502230501255321.

123552105032205 is a `hidden beast` number, since 1 + 2 + 3 + 552 + 1 + 0 + 50 + 32 + 20 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12954449394441 + 110597655637764 = 3599229^2 + 10516542^2 .

It is not a de Polignac number, because 123552105032205 - 2³ = 123552105032197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123552105032205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1372801166980 + ... + 1372801167069.

It is an arithmetic number, because the mean of its divisors is an integer number (17846415171325).

Almost surely, 2^{123552105032205} is an apocalyptic number.

123552105032205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123552105032205 is a deficient number, since it is larger than the sum of its proper divisors (90604877023695).

123552105032205 is a wasteful number, since it uses less digits than its factorization.

123552105032205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745602334060 (or 2745602334057 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 123552105032205 its reverse (502230501255321), we get a palindrome (625782606287526).

The spelling of 123552105032205 in words is "one hundred twenty-three trillion, five hundred fifty-two billion, one hundred five million, thirty-two thousand, two hundred five".