1271146240 has 216 divisors, whose sum is σ = 3816802080. Its totient is φ = 402038784.

The previous prime is 1271146229. The next prime is 1271146249. The reversal of 1271146240 is 426411721.

It is a super-2 number, since 2×1271146240² = 3231625526932275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1271146199 and 1271146208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271146249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814581 + ... + 816139.

It is an arithmetic number, because the mean of its divisors is an integer number (17670380).

Almost surely, 2^1271146240 is an apocalyptic number.

1271146240 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 1271146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908401040).

1271146240 is an abundant number, since it is smaller than the sum of its proper divisors (2545655840).

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

1271146240 is a wasteful number, since it uses less digits than its factorization.

1271146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1271146240 is about 35653.1378703194. The cubic root of 1271146240 is about 1083.2578354224.

Adding to 1271146240 its reverse (426411721), we get a palindrome (1697557961).

The spelling of 1271146240 in words is "one billion, two hundred seventy-one million, one hundred forty-six thousand, two hundred forty".