123242504313040 has 160 divisors (see below), whose sum is σ = 328037218274304. Its totient is φ = 42181807104000.

The previous prime is 123242504313031. The next prime is 123242504313041. The reversal of 123242504313040 is 40313405242321.

It is a junction number, because it is equal to n+sod(n) for n = 123242504312987 and 123242504313005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123242504313041) 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 31 ways as a sum of consecutive naturals, for example, 1100549532 + ... + 1100661508.

Almost surely, 2^{123242504313040} is an apocalyptic number.

123242504313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123242504313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164018609137152).

123242504313040 is an abundant number, since it is smaller than the sum of its proper divisors (204794713961264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123242504313040 is a wasteful number, since it uses less digits than its factorization.

123242504313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115365 (or 115359 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 123242504313040 its reverse (40313405242321), we get a palindrome (163555909555361).

The spelling of 123242504313040 in words is "one hundred twenty-three trillion, two hundred forty-two billion, five hundred four million, three hundred thirteen thousand, forty".