122121121221 has 12 divisors (see below), whose sum is σ = 192433282080. Its totient is φ = 74012800680.

The previous prime is 122121121211. The next prime is 122121121229.

122121121221 is a `hidden beast` number, since 1 + 221 + 211 + 212 + 21 = 666.

122121121221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122121121221 - 2³⁴ = 104941252037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122121121194 and 122121121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121121229) 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 11 ways as a sum of consecutive naturals, for example, 616773241 + ... + 616773438.

It is an arithmetic number, because the mean of its divisors is an integer number (16036106840).

Almost surely, 2^122121121221 is an apocalyptic number.

122121121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122121121221 is a deficient number, since it is larger than the sum of its proper divisors (70312160859).

122121121221 is a wasteful number, since it uses less digits than its factorization.

122121121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233546696 (or 1233546693 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

It can be divided in two parts, 122121 and 121221, that added together give a palindrome (243342).

The spelling of 122121121221 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".