12112121211001 has 16 divisors (see below), whose sum is σ = 13961094998400. Its totient is φ = 10293194661120.

The previous prime is 12112121210993. The next prime is 12112121211007. The reversal of 12112121211001 is 10011212121121.

It is not a de Polignac number, because 12112121211001 - 2³ = 12112121210993 is a prime.

It is a super-4 number, since 4×12112121211001⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12112121211007) 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 15 ways as a sum of consecutive naturals, for example, 15431326 + ... + 16197223.

It is an arithmetic number, because the mean of its divisors is an integer number (872568437400).

Almost surely, 2^{12112121211001} is an apocalyptic number.

It is an amenable number.

12112121211001 is a deficient number, since it is larger than the sum of its proper divisors (1848973787399).

12112121211001 is a wasteful number, since it uses less digits than its factorization.

12112121211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31629024.

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

Adding to 12112121211001 its reverse (10011212121121), we get a palindrome (22123333332122).

The spelling of 12112121211001 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, one".