1200 has 30 divisors (see below), whose sum is σ = 3844. Its totient is φ = 320.

The previous prime is 1193. The next prime is 1201. The reversal of 1200 is 21.

1200 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (30).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1200 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7.

It is a nialpdrome in base 6, base 7, base 12 and base 15.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (1201) by changing a digit.

1200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 238 + ... + 242.

2^{1200} is an apocalyptic number.

1200 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 1200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922).

1200 is an abundant number, since it is smaller than the sum of its proper divisors (2644).

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

1200 is a wasteful number, since it uses less digits than its factorization.

1200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 1200 is about 34.6410161514. The cubic root of 1200 is about 10.6265856918.

Adding to 1200 its reverse (21), we get a palindrome (1221).

Multiplying 1200 by its reverse (21), we get a triangular number (25200 = T_{224}).

The spelling of 1200 in words is "one thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200

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