123050135112400 has 60 divisors (see below), whose sum is σ = 296012382011500. Its totient is φ = 49156048650240.

The previous prime is 123050135112353. The next prime is 123050135112439. The reversal of 123050135112400 is 4211531050321.

It can be written as a sum of positive squares in 6 ways, for example, as 30150378156096 + 92899756956304 = 5490936^2 + 9638452^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199708875 + ... + 200324074.

Almost surely, 2^{123050135112400} is an apocalyptic number.

123050135112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123050135112400 is an abundant number, since it is smaller than the sum of its proper divisors (172962246899100).

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

123050135112400 is a wasteful number, since it uses less digits than its factorization.

123050135112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400033736 (or 400033725 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 123050135112400 its reverse (4211531050321), we get a palindrome (127261666162721).

The spelling of 123050135112400 in words is "one hundred twenty-three trillion, fifty billion, one hundred thirty-five million, one hundred twelve thousand, four hundred".