12283600 has 120 divisors (see below), whose sum is σ = 34872768. Its totient is φ = 4070400.

The previous prime is 12283597. The next prime is 12283603. The reversal of 12283600 is 638221.

It is an interprime number because it is at equal distance from previous prime (12283597) and next prime (12283603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12283603) 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, 114747 + ... + 114853.

Almost surely, 2^12283600 is an apocalyptic number.

12283600 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 12283600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384).

12283600 is an abundant number, since it is smaller than the sum of its proper divisors (22589168).

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

12283600 is a wasteful number, since it uses less digits than its factorization.

12283600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12283600 is about 3504.7967130777. The cubic root of 12283600 is about 230.7323850005.

The spelling of 12283600 in words is "twelve million, two hundred eighty-three thousand, six hundred".