121122122001201 has 48 divisors (see below), whose sum is σ = 202217417438400. Its totient is φ = 71998289192448.

The previous prime is 121122122001161. The next prime is 121122122001211. The reversal of 121122122001201 is 102100221221121.

121122122001201 is a `hidden beast` number, since 1 + 21 + 1 + 221 + 220 + 0 + 1 + 201 = 666.

It is not a de Polignac number, because 121122122001201 - 2¹⁴ = 121122121984817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121122122001211) 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, 771508116 + ... + 771665093.

It is an arithmetic number, because the mean of its divisors is an integer number (4212862863300).

Almost surely, 2^{121122122001201} is an apocalyptic number.

It is an amenable number.

121122122001201 is a deficient number, since it is larger than the sum of its proper divisors (81095295437199).

121122122001201 is a wasteful number, since it uses less digits than its factorization.

121122122001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543173260 (or 1543173248 counting only the distinct ones).

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

Adding to 121122122001201 its reverse (102100221221121), we get a palindrome (223222343222322).

The spelling of 121122122001201 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one thousand, two hundred one".