121122221121 has 24 divisors (see below), whose sum is σ = 199157489856. Its totient is φ = 70215779040.

The previous prime is 121122221111. The next prime is 121122221153.

121122221121 is a `hidden beast` number, since 1 + 211 + 222 + 211 + 21 = 666.

121122221121 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-121122221121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121122221094 and 121122221103.

It is not an unprimeable number, because it can be changed into a prime (121122221111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26594610 + ... + 26599163.

It is an arithmetic number, because the mean of its divisors is an integer number (8298228744).

Almost surely, 2^121122221121 is an apocalyptic number.

121122221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121122221121 is a deficient number, since it is larger than the sum of its proper divisors (78035268735).

121122221121 is a wasteful number, since it uses less digits than its factorization.

121122221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53193813 (or 53193810 counting only the distinct ones).

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

It can be divided in two parts, 121122 and 221121, that added together give a palindrome (342243).

The spelling of 121122221121 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".