1271241216 has 400 divisors, whose sum is σ = 4515603840. Its totient is φ = 348364800.

The previous prime is 1271241193. The next prime is 1271241233. The reversal of 1271241216 is 6121421721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (1344) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1271241216.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8418741 + ... + 8418891.

Almost surely, 2^1271241216 is an apocalyptic number.

1271241216 is a gapful number since it is divisible by the number (16) 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 1271241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257801920).

1271241216 is an abundant number, since it is smaller than the sum of its proper divisors (3244362624).

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

1271241216 is an equidigital number, since it uses as much as digits as its factorization.

1271241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1271241216 is about 35654.4697899155. The cubic root of 1271241216 is about 1083.2848139427.

Adding to 1271241216 its reverse (6121421721), we get a palindrome (7392662937).

The spelling of 1271241216 in words is "one billion, two hundred seventy-one million, two hundred forty-one thousand, two hundred sixteen".