12134400 has 144 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3194880.

The previous prime is 12134389. The next prime is 12134417. The reversal of 12134400 is 443121.

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 12134400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153561 + ... + 153639.

It is an arithmetic number, because the mean of its divisors is an integer number (282100).

Almost surely, 2^12134400 is an apocalyptic number.

12134400 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 12134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

12134400 is an abundant number, since it is smaller than the sum of its proper divisors (28488000).

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

12134400 is an equidigital number, since it uses as much as digits as its factorization.

12134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12134400 is about 3483.4465691324. The cubic root of 12134400 is about 229.7943972317.

Adding to 12134400 its reverse (443121), we get a palindrome (12577521).

The spelling of 12134400 in words is "twelve million, one hundred thirty-four thousand, four hundred".