11871936111121 has 16 divisors (see below), whose sum is σ = 12358204524288. Its totient is φ = 11396483366400.

The previous prime is 11871936111103. The next prime is 11871936111127. The reversal of 11871936111121 is 12111163917811.

It is a cyclic number.

It is not a de Polignac number, because 11871936111121 - 2²³ = 11871927722513 is a prime.

It is a super-3 number, since 3×11871936111121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11871936111127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4853235 + ... + 6877336.

It is an arithmetic number, because the mean of its divisors is an integer number (772387782768).

Almost surely, 2^{11871936111121} is an apocalyptic number.

It is an amenable number.

11871936111121 is a deficient number, since it is larger than the sum of its proper divisors (486268413167).

11871936111121 is a wasteful number, since it uses less digits than its factorization.

11871936111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11731032.

The product of its digits is 18144, while the sum is 43.

The spelling of 11871936111121 in words is "eleven trillion, eight hundred seventy-one billion, nine hundred thirty-six million, one hundred eleven thousand, one hundred twenty-one".