1271656812560 has 40 divisors (see below), whose sum is σ = 2961171919296. Its totient is φ = 507876517760.

The previous prime is 1271656812557. The next prime is 1271656812563. The reversal of 1271656812560 is 652186561721.

It is an interprime number because it is at equal distance from previous prime (1271656812557) and next prime (1271656812563).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1271656812560² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1271656812499 and 1271656812508.

It is not an unprimeable number, because it can be changed into a prime (1271656812563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12232406 + ... + 12335925.

Almost surely, 2^{1271656812560} is an apocalyptic number.

1271656812560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1271656812560 is an abundant number, since it is smaller than the sum of its proper divisors (1689515106736).

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

1271656812560 is a wasteful number, since it uses less digits than its factorization.

1271656812560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24568991 (or 24568985 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 1271656812560 in words is "one trillion, two hundred seventy-one billion, six hundred fifty-six million, eight hundred twelve thousand, five hundred sixty".