121200112221201 has 48 divisors (see below), whose sum is σ = 201600186999120. Its totient is φ = 69502326681600.

The previous prime is 121200112221163. The next prime is 121200112221229. The reversal of 121200112221201 is 102122211002121.

121200112221201 is a `hidden beast` number, since 12 + 120 + 0 + 112 + 221 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33511421099025 + 87688691122176 = 5788905^2 + 9364224^2 .

It is not a de Polignac number, because 121200112221201 - 2⁶ = 121200112221137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121200112221301) 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 47 ways as a sum of consecutive naturals, for example, 301458516 + ... + 301860293.

It is an arithmetic number, because the mean of its divisors is an integer number (4200003895815).

Almost surely, 2^{121200112221201} is an apocalyptic number.

It is an amenable number.

121200112221201 is a deficient number, since it is larger than the sum of its proper divisors (80400074777919).

121200112221201 is a wasteful number, since it uses less digits than its factorization.

121200112221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603318946 (or 603318943 counting only the distinct ones).

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

Adding to 121200112221201 its reverse (102122211002121), we get a palindrome (223322323223322).

The spelling of 121200112221201 in words is "one hundred twenty-one trillion, two hundred billion, one hundred twelve million, two hundred twenty-one thousand, two hundred one".