12211011011221 has 32 divisors (see below), whose sum is σ = 14070491099136. Its totient is φ = 10488737160000.

The previous prime is 12211011011201. The next prime is 12211011011261.

12211011011221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12211011011221 - 2¹⁹ = 12211010486933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211011011195 and 12211011011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211011011201) 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, 10458970 + ... + 11567716.

It is an arithmetic number, because the mean of its divisors is an integer number (439702846848).

Almost surely, 2^{12211011011221} is an apocalyptic number.

12211011011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211011011221 is a deficient number, since it is larger than the sum of its proper divisors (1859480087915).

12211011011221 is a wasteful number, since it uses less digits than its factorization.

12211011011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109313.

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

It can be divided in two parts, 1221101 and 1011221, that added together give a palindrome (2232322).

The spelling of 12211011011221 in words is "twelve trillion, two hundred eleven billion, eleven million, eleven thousand, two hundred twenty-one".