12122101122011 has 8 divisors (see below), whose sum is σ = 12902365718784. Its totient is φ = 11349303172480.

The previous prime is 12122101122007. The next prime is 12122101122029. The reversal of 12122101122011 is 11022110122121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12122101122011 - 2² = 12122101122007 is a prime.

It is a super-2 number, since 2×12122101122011² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12122101122041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1866658460 + ... + 1866664953.

It is an arithmetic number, because the mean of its divisors is an integer number (1612795714848).

Almost surely, 2^{12122101122011} is an apocalyptic number.

12122101122011 is a deficient number, since it is larger than the sum of its proper divisors (780264596773).

12122101122011 is a wasteful number, since it uses less digits than its factorization.

12122101122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733323621.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12122101122011 its reverse (11022110122121), we get a palindrome (23144211244132).

The spelling of 12122101122011 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, eleven".