112122121112001 has 48 divisors (see below), whose sum is σ = 217448962174080. Its totient is φ = 53764853276160.

The previous prime is 112122121111981. The next prime is 112122121112009. The reversal of 112122121112001 is 100211121221211.

It is a happy number.

112122121112001 is a `hidden beast` number, since 11 + 21 + 221 + 211 + 1 + 200 + 1 = 666.

It is not a de Polignac number, because 112122121112001 - 2²² = 112122116917697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112122121112009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6222774936 + ... + 6222792953.

It is an arithmetic number, because the mean of its divisors is an integer number (4530186711960).

Almost surely, 2^{112122121112001} is an apocalyptic number.

112122121112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112122121112001 is a deficient number, since it is larger than the sum of its proper divisors (105326841062079).

112122121112001 is a wasteful number, since it uses less digits than its factorization.

112122121112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12445567926 (or 12445567923 counting only the distinct ones).

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

Adding to 112122121112001 its reverse (100211121221211), we get a palindrome (212333242333212).

It can be divided in two parts, 1121221 and 21112001, that added together give a palindrome (22233222).

The spelling of 112122121112001 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one".