121242363242121 has 27 divisors (see below), whose sum is σ = 192496486963053. Its totient is φ = 73479999926520.

The previous prime is 121242363242111. The next prime is 121242363242167.

The square root of 121242363242121 is 11011011.

It is a perfect power (a square), and thus also a powerful number.

121242363242121 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 4 + 2 + 3 + 632 + 4 + 2 + 12 + 1 = 666.

121242363242121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121242363242121 - 2⁴⁵ = 86057991153289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121242363242111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 363196530 + ... + 363530196.

Almost surely, 2^{121242363242121} is an apocalyptic number.

121242363242121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121242363242121 is the 11011011-st square number.

121242363242121 is the 5505506-th centered octagonal number.

It is an amenable number.

121242363242121 is a deficient number, since it is larger than the sum of its proper divisors (71254123720932).

121242363242121 is an frugal number, since it uses more digits than its factorization.

121242363242121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667362 (or 333681 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

It can be divided in two parts, 121242363 and 242121, that added together give a square (121484484 = 11022²).

The spelling of 121242363242121 in words is "one hundred twenty-one trillion, two hundred forty-two billion, three hundred sixty-three million, two hundred forty-two thousand, one hundred twenty-one".