123996600 has 288 divisors, whose sum is σ = 513196320. Its totient is φ = 26127360.

The previous prime is 123996599. The next prime is 123996637. The reversal of 123996600 is 6699321.

123996600 is a `hidden beast` number, since 12 + 39 + 9 + 6 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163422 + ... + 164178.

Almost surely, 2^123996600 is an apocalyptic number.

123996600 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 123996600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256598160).

123996600 is an abundant number, since it is smaller than the sum of its proper divisors (389199720).

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

123996600 is a wasteful number, since it uses less digits than its factorization.

123996600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 123996600 is about 11135.3760601068. The cubic root of 123996600 is about 498.6585375088.

The spelling of 123996600 in words is "one hundred twenty-three million, nine hundred ninety-six thousand, six hundred".