111740988119121 has 135 divisors (see below), whose sum is σ = 175041225378019. Its totient is φ = 71035513920000.

The previous prime is 111740988119083. The next prime is 111740988119149. The reversal of 111740988119121 is 121911889047111.

The square root of 111740988119121 is 10570761.

It is a perfect power (a square), and thus also a powerful number.

111740988119121 is a `hidden beast` number, since 1 + 117 + 409 + 8 + 8 + 11 + 91 + 21 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 26680210453521 + 85060777665600 = 5165289^2 + 9222840^2 .

It is not a de Polignac number, because 111740988119121 - 2²⁷ = 111740853901393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111740988119221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 278655830521 + ... + 278655830921.

Almost surely, 2^{111740988119121} is an apocalyptic number.

111740988119121 is the 10570761-st square number.

111740988119121 is the 5285381-st centered octagonal number.

It is an amenable number.

111740988119121 is a deficient number, since it is larger than the sum of its proper divisors (63300237258898).

111740988119121 is an frugal number, since it uses more digits than its factorization.

111740988119121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 54.

The spelling of 111740988119121 in words is "one hundred eleven trillion, seven hundred forty billion, nine hundred eighty-eight million, one hundred nineteen thousand, one hundred twenty-one".