123542500121040 has 640 divisors, whose sum is σ = 520408683712512. Its totient is φ = 23410960220160.

The previous prime is 123542500121023. The next prime is 123542500121069. The reversal of 123542500121040 is 40121005245321.

123542500121040 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123542500120989 and 123542500121007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16842052 + ... + 23037788.

Almost surely, 2^{123542500121040} is an apocalyptic number.

123542500121040 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 123542500121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260204341856256).

123542500121040 is an abundant number, since it is smaller than the sum of its proper divisors (396866183591472).

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

123542500121040 is a wasteful number, since it uses less digits than its factorization.

123542500121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195867 (or 6195861 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 123542500121040 its reverse (40121005245321), we get a palindrome (163663505366361).

The spelling of 123542500121040 in words is "one hundred twenty-three trillion, five hundred forty-two billion, five hundred million, one hundred twenty-one thousand, forty".