12234400 has 72 divisors (see below), whose sum is σ = 30677724. Its totient is φ = 4761600.

The previous prime is 12234379. The next prime is 12234421. The reversal of 12234400 is 443221.

12234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12234379) and next prime (12234421).

It can be written as a sum of positive squares in 6 ways, for example, as 1710864 + 10523536 = 1308^2 + 3244^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32614 + ... + 32986.

Almost surely, 2^12234400 is an apocalyptic number.

12234400 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 12234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15338862).

12234400 is an abundant number, since it is smaller than the sum of its proper divisors (18443324).

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

12234400 is a wasteful number, since it uses less digits than its factorization.

12234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

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

The square root of 12234400 is about 3497.7707186149. The cubic root of 12234400 is about 230.4239188774.

Adding to 12234400 its reverse (443221), we get a palindrome (12677621).

The spelling of 12234400 in words is "twelve million, two hundred thirty-four thousand, four hundred".