12220144102221 has 128 divisors (see below), whose sum is σ = 19341195987456. Its totient is φ = 6780864430080.

The previous prime is 12220144102213. The next prime is 12220144102237.

12220144102221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12220144102221 - 2³ = 12220144102213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12220144102191 and 12220144102200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220144102211) 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 127 ways as a sum of consecutive naturals, for example, 880851141 + ... + 880865013.

It is an arithmetic number, because the mean of its divisors is an integer number (151103093652).

Almost surely, 2^{12220144102221} is an apocalyptic number.

12220144102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220144102221 is a deficient number, since it is larger than the sum of its proper divisors (7121051885235).

12220144102221 is a wasteful number, since it uses less digits than its factorization.

12220144102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1222014 and 4102221, that added together give a palindrome (5324235).

The spelling of 12220144102221 in words is "twelve trillion, two hundred twenty billion, one hundred forty-four million, one hundred two thousand, two hundred twenty-one".