12342400 has 192 divisors, whose sum is σ = 37944000. Its totient is φ = 3870720.

The previous prime is 12342389. The next prime is 12342409. The reversal of 12342400 is 424321.

12342400 is nontrivially palindromic in base 12.

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

It is not an unprimeable number, because it can be changed into a prime (12342409) 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, 425586 + ... + 425614.

It is an arithmetic number, because the mean of its divisors is an integer number (197625).

Almost surely, 2^12342400 is an apocalyptic number.

12342400 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 12342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000).

12342400 is an abundant number, since it is smaller than the sum of its proper divisors (25601600).

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

12342400 is a wasteful number, since it uses less digits than its factorization.

12342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12342400 is about 3513.1752020074. The cubic root of 12342400 is about 231.0999611101.

Adding to 12342400 its reverse (424321), we get a palindrome (12766721).

The spelling of 12342400 in words is "twelve million, three hundred forty-two thousand, four hundred".