112031122401 has 24 divisors (see below), whose sum is σ = 181305081984. Its totient is φ = 66062576160.

The previous prime is 112031122393. The next prime is 112031122453. The reversal of 112031122401 is 104221130211.

112031122401 is a `hidden beast` number, since 112 + 0 + 31 + 122 + 401 = 666.

It is not a de Polignac number, because 112031122401 - 2³ = 112031122393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112031122471) 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 23 ways as a sum of consecutive naturals, for example, 15288601 + ... + 15295926.

It is an arithmetic number, because the mean of its divisors is an integer number (7554378416).

Almost surely, 2^112031122401 is an apocalyptic number.

112031122401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112031122401 is a deficient number, since it is larger than the sum of its proper divisors (69273959583).

112031122401 is a wasteful number, since it uses less digits than its factorization.

112031122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30584581 (or 30584578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112031122401 its reverse (104221130211), we get a palindrome (216252252612).

It can be divided in two parts, 112031 and 122401, that added together give a palindrome (234432).

The spelling of 112031122401 in words is "one hundred twelve billion, thirty-one million, one hundred twenty-two thousand, four hundred one".