1271207520 has 480 divisors, whose sum is σ = 5047279776. Its totient is φ = 298598400.

The previous prime is 1271207459. The next prime is 1271207527. The reversal of 1271207520 is 257021721.

1271207520 is a `hidden beast` number, since 12 + 7 + 120 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271207527) by changing a digit.

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, 5274600 + ... + 5274840.

Almost surely, 2^1271207520 is an apocalyptic number.

1271207520 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 1271207520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523639888).

1271207520 is an abundant number, since it is smaller than the sum of its proper divisors (3776072256).

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

1271207520 is a wasteful number, since it uses less digits than its factorization.

1271207520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1271207520 is about 35653.9972513602. The cubic root of 1271207520 is about 1083.2752425393.

The spelling of 1271207520 in words is "one billion, two hundred seventy-one million, two hundred seven thousand, five hundred twenty".