1327201200 has 600 divisors, whose sum is σ = 5391717408. Its totient is φ = 310210560.

The previous prime is 1327201193. The next prime is 1327201207. The reversal of 1327201200 is 21027231.

It is an interprime number because it is at equal distance from previous prime (1327201193) and next prime (1327201207).

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×1327201200² = 3522926050562880000, which contains 22 as substring.

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 (1327201207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9687532 + ... + 9687668.

Almost surely, 2^1327201200 is an apocalyptic number.

1327201200 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 1327201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695858704).

1327201200 is an abundant number, since it is smaller than the sum of its proper divisors (4064516208).

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

1327201200 is a wasteful number, since it uses less digits than its factorization.

1327201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1327201200 is about 36430.7727066007. The cubic root of 1327201200 is about 1098.9525014363.

Adding to 1327201200 its reverse (21027231), we get a palindrome (1348228431).

The spelling of 1327201200 in words is "one billion, three hundred twenty-seven million, two hundred one thousand, two hundred".