121404121 has 16 divisors (see below), whose sum is σ = 128091600. Its totient is φ = 114912000.

The previous prime is 121404103. The next prime is 121404131.

It is a happy number.

121404121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 6056521 + 115347600 = 2461^2 + 10740^2 .

It is a cyclic number.

It is not a de Polignac number, because 121404121 - 2¹⁷ = 121273049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121404095 and 121404104.

It is not an unprimeable number, because it can be changed into a prime (121404131) 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 15 ways as a sum of consecutive naturals, for example, 530035 + ... + 530263.

It is an arithmetic number, because the mean of its divisors is an integer number (8005725).

Almost surely, 2^121404121 is an apocalyptic number.

It is an amenable number.

121404121 is a deficient number, since it is larger than the sum of its proper divisors (6687479).

121404121 is a wasteful number, since it uses less digits than its factorization.

121404121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540.

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

The square root of 121404121 is about 11018.3538244150. The cubic root of 121404121 is about 495.1587709578.

It can be divided in two parts, 12140 and 4121, that added together give a palindrome (16261).

The spelling of 121404121 in words is "one hundred twenty-one million, four hundred four thousand, one hundred twenty-one".