12132211211201 has 12 divisors (see below), whose sum is σ = 12237550974180. Its totient is φ = 12027700627200.

The previous prime is 12132211211177. The next prime is 12132211211303. The reversal of 12132211211201 is 10211211223121.

It can be written as a sum of positive squares in 2 ways, for example, as 11803010673601 + 329200537600 = 3435551^2 + 573760^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12132211211201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12132211211501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10084805 + ... + 11223533.

It is an arithmetic number, because the mean of its divisors is an integer number (1019795914515).

Almost surely, 2^{12132211211201} is an apocalyptic number.

It is an amenable number.

12132211211201 is a deficient number, since it is larger than the sum of its proper divisors (105339762979).

12132211211201 is an equidigital number, since it uses as much as digits as its factorization.

12132211211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139456 (or 1139293 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 12132211211201 its reverse (10211211223121), we get a palindrome (22343422434322).

The spelling of 12132211211201 in words is "twelve trillion, one hundred thirty-two billion, two hundred eleven million, two hundred eleven thousand, two hundred one".