121225505522121 has 288 divisors, whose sum is σ = 242943586389504. Its totient is φ = 56646683596800.

The previous prime is 121225505522087. The next prime is 121225505522159.

121225505522121 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 5 + 5 + 0 + 5 + 522 + 121 = 666.

121225505522121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121225505522121 - 2¹⁷ = 121225505391049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121225505520121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3603916515 + ... + 3603950151.

It is an arithmetic number, because the mean of its divisors is an integer number (843554119408).

Almost surely, 2^{121225505522121} is an apocalyptic number.

121225505522121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121225505522121 is an abundant number, since it is smaller than the sum of its proper divisors (121718080867383).

121225505522121 is a wasteful number, since it uses less digits than its factorization.

121225505522121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34613 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

It can be divided in two parts, 12122550 and 5522121, that added together give a palindrome (17644671).

The spelling of 121225505522121 in words is "one hundred twenty-one trillion, two hundred twenty-five billion, five hundred five million, five hundred twenty-two thousand, one hundred twenty-one".