12002212111201 has 48 divisors (see below), whose sum is σ = 13528163143152. Its totient is φ = 10582673448960.

The previous prime is 12002212111133. The next prime is 12002212111207. The reversal of 12002212111201 is 10211121220021.

It can be written as a sum of positive squares in 24 ways, for example, as 11993338659600 + 8873451601 = 3463140^2 + 94199^2 .

It is not a de Polignac number, because 12002212111201 - 2⁹ = 12002212110689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002212111207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218524395 + ... + 218579311.

It is an arithmetic number, because the mean of its divisors is an integer number (281836732149).

Almost surely, 2^{12002212111201} is an apocalyptic number.

It is an amenable number.

12002212111201 is a deficient number, since it is larger than the sum of its proper divisors (1525951031951).

12002212111201 is a wasteful number, since it uses less digits than its factorization.

12002212111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55222 (or 55181 counting only the distinct ones).

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

Adding to 12002212111201 its reverse (10211121220021), we get a palindrome (22213333331222).

The spelling of 12002212111201 in words is "twelve trillion, two billion, two hundred twelve million, one hundred eleven thousand, two hundred one".