12111211001201 has 16 divisors (see below), whose sum is σ = 13289168506320. Its totient is φ = 10968450355200.

The previous prime is 12111211001173. The next prime is 12111211001203. The reversal of 12111211001201 is 10210011211121.

It can be written as a sum of positive squares in 8 ways, for example, as 1976411410801 + 10134799590400 = 1405849^2 + 3183520^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12111211001201 is a prime.

It is a super-2 number, since 2×12111211001201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12111211001203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51287801 + ... + 51523401.

It is an arithmetic number, because the mean of its divisors is an integer number (830573031645).

Almost surely, 2^{12111211001201} is an apocalyptic number.

It is an amenable number.

12111211001201 is a deficient number, since it is larger than the sum of its proper divisors (1177957505119).

12111211001201 is a wasteful number, since it uses less digits than its factorization.

12111211001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310276.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12111211001201 its reverse (10210011211121), we get a palindrome (22321222212322).

The spelling of 12111211001201 in words is "twelve trillion, one hundred eleven billion, two hundred eleven million, one thousand, two hundred one".