1271355200 has 168 divisors, whose sum is σ = 3392497152. Its totient is φ = 467066880.

The previous prime is 1271355193. The next prime is 1271355209. The reversal of 1271355200 is 25531721.

It is a self number, because there is not a number n which added to its sum of digits gives 1271355200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271355209) 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, 1169057 + ... + 1170143.

Almost surely, 2^1271355200 is an apocalyptic number.

1271355200 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 1271355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696248576).

1271355200 is an abundant number, since it is smaller than the sum of its proper divisors (2121141952).

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

1271355200 is a wasteful number, since it uses less digits than its factorization.

1271355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 1271355200 is about 35656.0682072491. The cubic root of 1271355200 is about 1083.3171900290.

Adding to 1271355200 its reverse (25531721), we get a palindrome (1296886921).

The spelling of 1271355200 in words is "one billion, two hundred seventy-one million, three hundred fifty-five thousand, two hundred".