112114011141 has 32 divisors (see below), whose sum is σ = 181388188800. Its totient is φ = 67875200640.

The previous prime is 112114011007. The next prime is 112114011169. The reversal of 112114011141 is 141110411211.

It is a happy number.

112114011141 is a `hidden beast` number, since 1 + 1 + 211 + 401 + 11 + 41 = 666.

It is not a de Polignac number, because 112114011141 - 2¹⁵ = 112113978373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112114019141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76855 + ... + 479723.

It is an arithmetic number, because the mean of its divisors is an integer number (5668380900).

Almost surely, 2^112114011141 is an apocalyptic number.

112114011141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112114011141 is a deficient number, since it is larger than the sum of its proper divisors (69274177659).

112114011141 is a wasteful number, since it uses less digits than its factorization.

112114011141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403826 (or 403820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112114011141 its reverse (141110411211), we get a palindrome (253224422352).

The spelling of 112114011141 in words is "one hundred twelve billion, one hundred fourteen million, eleven thousand, one hundred forty-one".