123506000 has 80 divisors (see below), whose sum is σ = 306892560. Its totient is φ = 48038400.

The previous prime is 123505997. The next prime is 123506017. The reversal of 123506000 is 605321.

It can be written as a sum of positive squares in 8 ways, for example, as 15429184 + 108076816 = 3928^2 + 10396^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 123506000 = 2³ + 498³ = 270³ + 470³.

It is a self number, because there is not a number n which added to its sum of digits gives 123506000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73166 + ... + 74834.

It is an arithmetic number, because the mean of its divisors is an integer number (3836157).

Almost surely, 2^123506000 is an apocalyptic number.

123506000 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 123506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153446280).

123506000 is an abundant number, since it is smaller than the sum of its proper divisors (183386560).

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

123506000 is a wasteful number, since it uses less digits than its factorization.

123506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1713 counting only the distinct ones).

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

The square root of 123506000 is about 11113.3253349301. The cubic root of 123506000 is about 498.0000107525. Note that the first 4 decimals are identical.

The spelling of 123506000 in words is "one hundred twenty-three million, five hundred six thousand".