12481200 has 90 divisors (see below), whose sum is σ = 43325724. Its totient is φ = 3327360.

The previous prime is 12481199. The next prime is 12481201. The reversal of 12481200 is 218421.

It is an interprime number because it is at equal distance from previous prime (12481199) and next prime (12481201).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12481201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1867 + ... + 5333.

Almost surely, 2^12481200 is an apocalyptic number.

12481200 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 12481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21662862).

12481200 is an abundant number, since it is smaller than the sum of its proper divisors (30844524).

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

12481200 is a wasteful number, since it uses less digits than its factorization.

12481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12481200 is about 3532.8741840037. The cubic root of 12481200 is about 231.9630341420.

Adding to 12481200 its reverse (218421), we get a palindrome (12699621).

The spelling of 12481200 in words is "twelve million, four hundred eighty-one thousand, two hundred".