123506000000 has 224 divisors, whose sum is σ = 316056501300. Its totient is φ = 48038400000.

The previous prime is 123505999997. The next prime is 123506000041. The reversal of 123506000000 is 605321.

It can be written as a sum of positive squares in 14 ways, for example, as 83669033536 + 39836966464 = 289256^2 + 199592^2 .

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 123506000000 = 20³ + 4980³ = 2700³ + 4700³.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 73999166 + ... + 74000834.

Almost surely, 2^123506000000 is an apocalyptic number.

123506000000 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 123506000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158028250650).

123506000000 is an abundant number, since it is smaller than the sum of its proper divisors (192550501300).

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

123506000000 is an frugal number, since it uses more digits than its factorization.

123506000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 123506000000 its reverse (605321), we get a palindrome (123506605321).

The spelling of 123506000000 in words is "one hundred twenty-three billion, five hundred six million", and thus it is an aban number.