123009600 has 252 divisors, whose sum is σ = 470361264. Its totient is φ = 28062720.

The previous prime is 123009563. The next prime is 123009647. The reversal of 123009600 is 6900321.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 35 ways as a sum of consecutive naturals, for example, 234939 + ... + 235461.

Almost surely, 2^123009600 is an apocalyptic number.

123009600 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 123009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235180632).

123009600 is an abundant number, since it is smaller than the sum of its proper divisors (347351664).

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

123009600 is a wasteful number, since it uses less digits than its factorization.

123009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 123009600 is about 11090.9692993895. The cubic root of 123009600 is about 497.3319213703.

Adding to 123009600 its reverse (6900321), we get a palindrome (129909921).

The spelling of 123009600 in words is "one hundred twenty-three million, nine thousand, six hundred".