12288400 has 60 divisors (see below), whose sum is σ = 30505984. Its totient is φ = 4752000.

The previous prime is 12288391. The next prime is 12288401. The reversal of 12288400 is 488221.

12288400 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11905 + ... + 12895.

Almost surely, 2^12288400 is an apocalyptic number.

12288400 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 12288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252992).

12288400 is an abundant number, since it is smaller than the sum of its proper divisors (18217584).

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

12288400 is a wasteful number, since it uses less digits than its factorization.

12288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 12288400 is about 3505.4814220018. The cubic root of 12288400 is about 230.7624351275.

12288400 divided by its sum of digits (25) gives a triangular number (491536 = T₉₉₁).

The spelling of 12288400 in words is "twelve million, two hundred eighty-eight thousand, four hundred".