12122102011 has 16 divisors (see below), whose sum is σ = 12898828800. Its totient is φ = 11359575648.

The previous prime is 12122101997. The next prime is 12122102017. The reversal of 12122102011 is 11020122121.

12122102011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12122102011 - 2²⁵ = 12088547579 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122101982 and 12122102000.

It is not an unprimeable number, because it can be changed into a prime (12122102017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1457581 + ... + 1465873.

It is an arithmetic number, because the mean of its divisors is an integer number (806176800).

Almost surely, 2^12122102011 is an apocalyptic number.

12122102011 is a deficient number, since it is larger than the sum of its proper divisors (776726789).

12122102011 is a wasteful number, since it uses less digits than its factorization.

12122102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12122102011 its reverse (11020122121), we get a palindrome (23142224132).

The spelling of 12122102011 in words is "twelve billion, one hundred twenty-two million, one hundred two thousand, eleven".