12201200121121 has 16 divisors (see below), whose sum is σ = 13414967121600. Its totient is φ = 11005069682880.

The previous prime is 12201200121107. The next prime is 12201200121139. The reversal of 12201200121121 is 12112100210221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12201200121121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201200121095 and 12201200121104.

It is not an unprimeable number, because it can be changed into a prime (12201200127121) 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, 4048671 + ... + 6387028.

It is an arithmetic number, because the mean of its divisors is an integer number (838435445100).

Almost surely, 2^{12201200121121} is an apocalyptic number.

12201200121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201200121121 is a deficient number, since it is larger than the sum of its proper divisors (1213767000479).

12201200121121 is a wasteful number, since it uses less digits than its factorization.

12201200121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10436544.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12201200121121 its reverse (12112100210221), we get a palindrome (24313300331342).

It can be divided in two parts, 12201200 and 121121, that added together give a palindrome (12322321).

The spelling of 12201200121121 in words is "twelve trillion, two hundred one billion, two hundred million, one hundred twenty-one thousand, one hundred twenty-one".