123105042133540 has 48 divisors (see below), whose sum is σ = 259236991311984. Its totient is φ = 49105627136000.

The previous prime is 123105042133531. The next prime is 123105042133561. The reversal of 123105042133540 is 45331240501321.

It can be written as a sum of positive squares in 8 ways, for example, as 20810913362404 + 102294128771136 = 4561898^2 + 10114056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123105042133496 and 123105042133505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26886450 + ... + 31130230.

It is an arithmetic number, because the mean of its divisors is an integer number (5400770652333).

Almost surely, 2^{123105042133540} is an apocalyptic number.

123105042133540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123105042133540 is an abundant number, since it is smaller than the sum of its proper divisors (136131949178444).

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

123105042133540 is a wasteful number, since it uses less digits than its factorization.

123105042133540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247808 (or 4247806 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 123105042133540 its reverse (45331240501321), we get a palindrome (168436282634861).

The spelling of 123105042133540 in words is "one hundred twenty-three trillion, one hundred five billion, forty-two million, one hundred thirty-three thousand, five hundred forty".