122001012222111 has 48 divisors (see below), whose sum is σ = 192929636390400. Its totient is φ = 73676325634560.

The previous prime is 122001012222109. The next prime is 122001012222191. The reversal of 122001012222111 is 111222210100221.

122001012222111 is a `hidden beast` number, since 1 + 220 + 0 + 10 + 1 + 222 + 211 + 1 = 666.

It is not a de Polignac number, because 122001012222111 - 2¹ = 122001012222109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001012222191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245278650 + ... + 1245376616.

It is an arithmetic number, because the mean of its divisors is an integer number (4019367424800).

Almost surely, 2^{122001012222111} is an apocalyptic number.

122001012222111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122001012222111 is a deficient number, since it is larger than the sum of its proper divisors (70928624168289).

122001012222111 is a wasteful number, since it uses less digits than its factorization.

122001012222111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142716 (or 142713 counting only the distinct ones).

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

Adding to 122001012222111 its reverse (111222210100221), we get a palindrome (233223222322332).

The spelling of 122001012222111 in words is "one hundred twenty-two trillion, one billion, twelve million, two hundred twenty-two thousand, one hundred eleven".