123013506600 has 288 divisors, whose sum is σ = 429860136000. Its totient is φ = 32334422400.

The previous prime is 123013506599. The next prime is 123013506601. The reversal of 123013506600 is 6605310321.

123013506600 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 3 + 50 + 6 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (123013506599) and next prime (123013506601).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123013506601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27219141 + ... + 27223659.

Almost surely, 2^123013506600 is an apocalyptic number.

123013506600 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 123013506600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214930068000).

123013506600 is an abundant number, since it is smaller than the sum of its proper divisors (306846629400).

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

123013506600 is a wasteful number, since it uses less digits than its factorization.

123013506600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 123013506600 its reverse (6605310321), we get a palindrome (129618816921).

The spelling of 123013506600 in words is "one hundred twenty-three billion, thirteen million, five hundred six thousand, six hundred".