112221122120001 has 12 divisors (see below), whose sum is σ = 162097269333012. Its totient is φ = 74814038519136.

The previous prime is 112221122119979. The next prime is 112221122120039. The reversal of 112221122120001 is 100021221122211.

112221122120001 is a `hidden beast` number, since 11 + 22 + 211 + 221 + 200 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62450707435776 + 49770414684225 = 7902576^2 + 7054815^2 .

It is not a de Polignac number, because 112221122120001 - 2¹³ = 112221122111809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112221122127001) 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 11 ways as a sum of consecutive naturals, for example, 25109755 + ... + 29239391.

It is an arithmetic number, because the mean of its divisors is an integer number (13508105777751).

Almost surely, 2^{112221122120001} is an apocalyptic number.

It is an amenable number.

112221122120001 is a deficient number, since it is larger than the sum of its proper divisors (49876147213011).

112221122120001 is a wasteful number, since it uses less digits than its factorization.

112221122120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149040 (or 7149037 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112221122120001 its reverse (100021221122211), we get a palindrome (212242343242212).

The spelling of 112221122120001 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, one".