12126400 has 168 divisors, whose sum is σ = 35716464. Its totient is φ = 3993600.

The previous prime is 12126353. The next prime is 12126403. The reversal of 12126400 is 462121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228774 + ... + 228826.

It is an arithmetic number, because the mean of its divisors is an integer number (212598).

Almost surely, 2^12126400 is an apocalyptic number.

12126400 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 12126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858232).

12126400 is an abundant number, since it is smaller than the sum of its proper divisors (23590064).

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

12126400 is a wasteful number, since it uses less digits than its factorization.

12126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12126400 is about 3482.2980917779. The cubic root of 12126400 is about 229.7438863061.

Adding to 12126400 its reverse (462121), we get a palindrome (12588521).

The spelling of 12126400 in words is "twelve million, one hundred twenty-six thousand, four hundred".