1271116800 has 330 divisors, whose sum is σ = 4714474358. Its totient is φ = 338411520.

The previous prime is 1271116793. The next prime is 1271116811. The reversal of 1271116800 is 86111721.

It can be written as a sum of positive squares in 3 ways, for example, as 16257024 + 1254859776 = 4032^2 + 35424^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073294 + ... + 2073906.

Almost surely, 2^1271116800 is an apocalyptic number.

1271116800 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 1271116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357237179).

1271116800 is an abundant number, since it is smaller than the sum of its proper divisors (3443357558).

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

1271116800 is an equidigital number, since it uses as much as digits as its factorization.

1271116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1271116800 is about 35652.7250010430. The cubic root of 1271116800 is about 1083.2494725355.

The spelling of 1271116800 in words is "one billion, two hundred seventy-one million, one hundred sixteen thousand, eight hundred".