12212200221221 has 128 divisors (see below), whose sum is σ = 16890961231872. Its totient is φ = 8521811712000.

The previous prime is 12212200221217. The next prime is 12212200221223.

12212200221221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12212200221221 - 2² = 12212200221217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212200221193 and 12212200221202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212200221223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10933034555 + ... + 10933035671.

It is an arithmetic number, because the mean of its divisors is an integer number (131960634624).

Almost surely, 2^{12212200221221} is an apocalyptic number.

12212200221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212200221221 is a deficient number, since it is larger than the sum of its proper divisors (4678761010651).

12212200221221 is a wasteful number, since it uses less digits than its factorization.

12212200221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 12212200 and 221221, that added together give a palindrome (12433421).

The spelling of 12212200221221 in words is "twelve trillion, two hundred twelve billion, two hundred million, two hundred twenty-one thousand, two hundred twenty-one".