1271160000 has 560 divisors, whose sum is σ = 5141854080. Its totient is φ = 305280000.

The previous prime is 1271159999. The next prime is 1271160031. The reversal of 1271160000 is 611721.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11879947 + ... + 11880053.

Almost surely, 2^1271160000 is an apocalyptic number.

1271160000 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 1271160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570927040).

1271160000 is an abundant number, since it is smaller than the sum of its proper divisors (3870694080).

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

1271160000 is a wasteful number, since it uses less digits than its factorization.

1271160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1271160000 is about 35653.3308401894. The cubic root of 1271160000 is about 1083.2617441188.

Adding to 1271160000 its reverse (611721), we get a palindrome (1271771721).

The spelling of 1271160000 in words is "one billion, two hundred seventy-one million, one hundred sixty thousand".