12001010211201 has 64 divisors (see below), whose sum is σ = 18565514035200. Its totient is φ = 6819283598400.

The previous prime is 12001010211199. The next prime is 12001010211209. The reversal of 12001010211201 is 10211201010021.

It is not a de Polignac number, because 12001010211201 - 2¹ = 12001010211199 is a prime.

It is a super-3 number, since 3×12001010211201³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12001010211209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29945220 + ... + 30343338.

It is an arithmetic number, because the mean of its divisors is an integer number (290086156800).

Almost surely, 2^{12001010211201} is an apocalyptic number.

12001010211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001010211201 is a deficient number, since it is larger than the sum of its proper divisors (6564503823999).

12001010211201 is a wasteful number, since it uses less digits than its factorization.

12001010211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398650.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001010211201 its reverse (10211201010021), we get a palindrome (22212211221222).

The spelling of 12001010211201 in words is "twelve trillion, one billion, ten million, two hundred eleven thousand, two hundred one".