121132484231121 has 36 divisors (see below), whose sum is σ = 192322614170596. Its totient is φ = 73413184584960.

The previous prime is 121132484231107. The next prime is 121132484231149.

121132484231121 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 32 + 484 + 23 + 1 + 121 = 666.

121132484231121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 87690320504721 + 33442163726400 = 9364311^2 + 5782920^2 .

It is not a de Polignac number, because 121132484231121 - 2⁷ = 121132484230993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121132484231191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330150645 + ... + 330517341.

Almost surely, 2^{121132484231121} is an apocalyptic number.

121132484231121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121132484231121 is a deficient number, since it is larger than the sum of its proper divisors (71190129939475).

121132484231121 is a wasteful number, since it uses less digits than its factorization.

121132484231121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670062 (or 670048 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 121132484231121 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, four hundred eighty-four million, two hundred thirty-one thousand, one hundred twenty-one".