12127800 has 192 divisors, whose sum is σ = 42184800. Its totient is φ = 2867200.

The previous prime is 12127799. The next prime is 12127807. The reversal of 12127800 is 872121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295780 + ... + 295820.

Almost surely, 2^12127800 is an apocalyptic number.

12127800 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 12127800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

12127800 is an abundant number, since it is smaller than the sum of its proper divisors (30057000).

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

12127800 is a wasteful number, since it uses less digits than its factorization.

12127800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 12127800 is about 3482.4991026560. The cubic root of 12127800 is about 229.7527273214.

Adding to 12127800 its reverse (872121), we get a palindrome (12999921).

The spelling of 12127800 in words is "twelve million, one hundred twenty-seven thousand, eight hundred".