1271105638656 has 72 divisors (see below), whose sum is σ = 3866279667264. Its totient is φ = 363173038080.

The previous prime is 1271105638639. The next prime is 1271105638697. The reversal of 1271105638656 is 6568365011721.

It is a junction number, because it is equal to n+sod(n) for n = 1271105638599 and 1271105638608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118215015 + ... + 118225766.

It is an arithmetic number, because the mean of its divisors is an integer number (53698328712).

Almost surely, 2^{1271105638656} is an apocalyptic number.

1271105638656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1271105638656 is an abundant number, since it is smaller than the sum of its proper divisors (2595174028608).

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

1271105638656 is an equidigital number, since it uses as much as digits as its factorization.

1271105638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236440807 (or 236440793 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 1271105638656 in words is "one trillion, two hundred seventy-one billion, one hundred five million, six hundred thirty-eight thousand, six hundred fifty-six".