12221000012221 has 128 divisors (see below), whose sum is σ = 17587732377600. Its totient is φ = 8245071648000.

The previous prime is 12221000012141. The next prime is 12221000012321.

It is a happy number.

12221000012221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12221000012221 - 2⁹ = 12221000011709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221000012195 and 12221000012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221000012021) 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, 232404910 + ... + 232457488.

It is an arithmetic number, because the mean of its divisors is an integer number (137404159200).

Almost surely, 2^{12221000012221} is an apocalyptic number.

12221000012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221000012221 is a deficient number, since it is larger than the sum of its proper divisors (5366732365379).

12221000012221 is a wasteful number, since it uses less digits than its factorization.

12221000012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52752 (or 52730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 122210000 and 12221, that multiplied together give a square (1493528410000 = 1222100²).

The spelling of 12221000012221 in words is "twelve trillion, two hundred twenty-one billion, twelve thousand, two hundred twenty-one".