12200011121121 has 16 divisors (see below), whose sum is σ = 16499144586240. Its totient is φ = 8017155797840.

The previous prime is 12200011121047. The next prime is 12200011121161. The reversal of 12200011121121 is 12112111000221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12200011121121 - 2⁷ = 12200011120993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12200011121121.

It is not an unprimeable number, because it can be changed into a prime (12200011121161) 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, 4774275 + ... + 6869768.

It is an arithmetic number, because the mean of its divisors is an integer number (1031196536640).

Almost surely, 2^{12200011121121} is an apocalyptic number.

It is an amenable number.

12200011121121 is a deficient number, since it is larger than the sum of its proper divisors (4299133465119).

12200011121121 is a wasteful number, since it uses less digits than its factorization.

12200011121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649036.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12200011121121 its reverse (12112111000221), we get a palindrome (24312122121342).

The spelling of 12200011121121 in words is "twelve trillion, two hundred billion, eleven million, one hundred twenty-one thousand, one hundred twenty-one".