12281600 has 108 divisors (see below), whose sum is σ = 32315640. Its totient is φ = 4608000.

The previous prime is 12281597. The next prime is 12281603. The reversal of 12281600 is 618221.

It is an interprime number because it is at equal distance from previous prime (12281597) and next prime (12281603).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12281603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121550 + ... + 121650.

Almost surely, 2^12281600 is an apocalyptic number.

12281600 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 12281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157820).

12281600 is an abundant number, since it is smaller than the sum of its proper divisors (20034040).

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

12281600 is a wasteful number, since it uses less digits than its factorization.

12281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12281600 is about 3504.5113782095. The cubic root of 12281600 is about 230.7198618038.

Adding to 12281600 its reverse (618221), we get a palindrome (12899821).

The spelling of 12281600 in words is "twelve million, two hundred eighty-one thousand, six hundred".