122111121122001 has 24 divisors (see below), whose sum is σ = 193801822949280. Its totient is φ = 73474317475200.

The previous prime is 122111121121943. The next prime is 122111121122009. The reversal of 122111121122001 is 100221121111221.

It is a happy number.

122111121122001 is a `hidden beast` number, since 1 + 221 + 1 + 11 + 211 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 122111121122001 - 2³⁹ = 121561365308113 is a prime.

It is a super-2 number, since 2×122111121122001² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122111121122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4436841160 + ... + 4436868681.

It is an arithmetic number, because the mean of its divisors is an integer number (8075075956220).

Almost surely, 2^{122111121122001} is an apocalyptic number.

122111121122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111121122001 is a deficient number, since it is larger than the sum of its proper divisors (71690701827279).

122111121122001 is a wasteful number, since it uses less digits than its factorization.

122111121122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873709997 (or 8873709994 counting only the distinct ones).

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

Adding to 122111121122001 its reverse (100221121111221), we get a palindrome (222332242233222).

The spelling of 122111121122001 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, one".