12122010011 has 16 divisors (see below), whose sum is σ = 12649168896. Its totient is φ = 11604060000.

The previous prime is 12122009989. The next prime is 12122010071. The reversal of 12122010011 is 11001022121.

12122010011 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 a de Polignac number, because none of the positive numbers 2^k-12122010011 is a prime.

It is a super-3 number, since 3×12122010011³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122009974 and 12122010001.

It is not an unprimeable number, because it can be changed into a prime (12122010071) 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, 1066046 + ... + 1077356.

It is an arithmetic number, because the mean of its divisors is an integer number (790573056).

Almost surely, 2^12122010011 is an apocalyptic number.

12122010011 is a deficient number, since it is larger than the sum of its proper divisors (527158885).

12122010011 is a wasteful number, since it uses less digits than its factorization.

12122010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11714.

The product of its (nonzero) digits is 8, while the sum is 11.

Subtracting from 12122010011 its sum of digits (11), we obtain a square (12122010000 = 110100²).

Adding to 12122010011 its reverse (11001022121), we get a palindrome (23123032132).

The spelling of 12122010011 in words is "twelve billion, one hundred twenty-two million, ten thousand, eleven".