123268600 has 144 divisors (see below), whose sum is σ = 355356720. Its totient is φ = 38937600.

The previous prime is 123268583. The next prime is 123268609. The reversal of 123268600 is 6862321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123268609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236340 + ... + 236860.

It is an arithmetic number, because the mean of its divisors is an integer number (2467755).

Almost surely, 2^123268600 is an apocalyptic number.

123268600 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 123268600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177678360).

123268600 is an abundant number, since it is smaller than the sum of its proper divisors (232088120).

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

123268600 is a wasteful number, since it uses less digits than its factorization.

123268600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 123268600 is about 11102.6393258540. The cubic root of 123268600 is about 497.6807252297.

The spelling of 123268600 in words is "one hundred twenty-three million, two hundred sixty-eight thousand, six hundred".