12010011212201 has 32 divisors (see below), whose sum is σ = 12331372603680. Its totient is φ = 11693638656000.

The previous prime is 12010011212137. The next prime is 12010011212239. The reversal of 12010011212201 is 10221211001021.

It can be written as a sum of positive squares in 16 ways, for example, as 441686514025 + 11568324698176 = 664595^2 + 3401224^2 .

It is a cyclic number.

It is not a de Polignac number, because 12010011212201 - 2⁶ = 12010011212137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12010011212281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6213145031 + ... + 6213146963.

It is an arithmetic number, because the mean of its divisors is an integer number (385355393865).

Almost surely, 2^{12010011212201} is an apocalyptic number.

It is an amenable number.

12010011212201 is a deficient number, since it is larger than the sum of its proper divisors (321361391479).

12010011212201 is a wasteful number, since it uses less digits than its factorization.

12010011212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12010011212201 its reverse (10221211001021), we get a palindrome (22231222213222).

The spelling of 12010011212201 in words is "twelve trillion, ten billion, eleven million, two hundred twelve thousand, two hundred one".