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12200 = 235261

12200 has 24 divisors (see below), whose sum is σ = 28830. Its totient is φ = 4800.

The previous prime is 12197. The next prime is 12203. The reversal of 12200 is 221.

Adding to 12200 its reverse (221), we get a palindrome (12421).

It can be divided in two parts, 12 and 200, that added together give a palindrome (212).

12200 = 25 + 35 + ... + 65.

It is an interprime number because it is at equal distance from previous prime (12197) and next prime (12203).

It can be written as a sum of positive squares in 3 ways, for example, as 5476 + 6724 = 74^2 + 82^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

12200 is an undulating number in base 11.

It is not an unprimeable number, because it can be changed into a prime (12203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170 + ... + 230.

212200 is an apocalyptic number.

12200 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 12200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415).

12200 is an abundant number, since it is smaller than the sum of its proper divisors (16630).

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

12200 is a wasteful number, since it uses less digits than its factorization.

12200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 12200 is about 110.4536101719. The cubic root of 12200 is about 23.0207751796.

The spelling of 12200 in words is "twelve thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200