112711271153 has 32 divisors (see below), whose sum is σ = 127540980000. Its totient is φ = 98884380672.

The previous prime is 112711271149. The next prime is 112711271159. The reversal of 112711271153 is 351172117211.

It can be written as a sum of positive squares in 16 ways, for example, as 17744371264 + 94966899889 = 133208^2 + 308167^2 .

It is a cyclic number.

It is not a de Polignac number, because 112711271153 - 2² = 112711271149 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112711271159) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7676303 + ... + 7690971.

It is an arithmetic number, because the mean of its divisors is an integer number (3985655625).

Almost surely, 2^112711271153 is an apocalyptic number.

112711271153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112711271153 is a deficient number, since it is larger than the sum of its proper divisors (14829708847).

112711271153 is a wasteful number, since it uses less digits than its factorization.

112711271153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15029.

The product of its digits is 2940, while the sum is 32.

Adding to 112711271153 its reverse (351172117211), we get a palindrome (463883388364).

The spelling of 112711271153 in words is "one hundred twelve billion, seven hundred eleven million, two hundred seventy-one thousand, one hundred fifty-three".