12001122221201 has 16 divisors (see below), whose sum is σ = 13155206920704. Its totient is φ = 10903414639104.

The previous prime is 12001122221161. The next prime is 12001122221267. The reversal of 12001122221201 is 10212222110021.

It is not a de Polignac number, because 12001122221201 - 2³⁴ = 11983942352017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12001122221201.

It is not an unprimeable number, because it can be changed into a prime (12001122221281) 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, 102819605 + ... + 102936258.

It is an arithmetic number, because the mean of its divisors is an integer number (822200432544).

Almost surely, 2^{12001122221201} is an apocalyptic number.

It is an amenable number.

12001122221201 is a deficient number, since it is larger than the sum of its proper divisors (1154084699503).

12001122221201 is a wasteful number, since it uses less digits than its factorization.

12001122221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205756000.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12001122221201 its reverse (10212222110021), we get a palindrome (22213344331222).

The spelling of 12001122221201 in words is "twelve trillion, one billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred one".