12123600 has 60 divisors (see below), whose sum is σ = 38839776. Its totient is φ = 3232640.

The previous prime is 12123589. The next prime is 12123607. The reversal of 12123600 is 632121.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12123600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3852 + ... + 6251.

Almost surely, 2^12123600 is an apocalyptic number.

12123600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123600 is an abundant number, since it is smaller than the sum of its proper divisors (26716176).

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

12123600 is a wasteful number, since it uses less digits than its factorization.

12123600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10124 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12123600 is about 3481.8960352084. The cubic root of 12123600 is about 229.7262022339.

Adding to 12123600 its reverse (632121), we get a palindrome (12755721).

The spelling of 12123600 in words is "twelve million, one hundred twenty-three thousand, six hundred".