123241505431041 has 48 divisors (see below), whose sum is σ = 195136906021200. Its totient is φ = 74603952267264.

The previous prime is 123241505431021. The next prime is 123241505431127. The reversal of 123241505431041 is 140134505142321.

123241505431041 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 4 + 1 + 5 + 0 + 543 + 104 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50120792796816 + 73120712634225 = 7079604^2 + 8551065^2 .

It is not a de Polignac number, because 123241505431041 - 2⁷ = 123241505430913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123241505430987 and 123241505431005.

It is not an unprimeable number, because it can be changed into a prime (123241505431021) by changing a digit.

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, 4952946 + ... + 16462523.

It is an arithmetic number, because the mean of its divisors is an integer number (4065352208775).

Almost surely, 2^{123241505431041} is an apocalyptic number.

It is an amenable number.

123241505431041 is a deficient number, since it is larger than the sum of its proper divisors (71895400590159).

123241505431041 is a wasteful number, since it uses less digits than its factorization.

123241505431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21416818 (or 21416815 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 123241505431041 in words is "one hundred twenty-three trillion, two hundred forty-one billion, five hundred five million, four hundred thirty-one thousand, forty-one".