121113585311121 has 144 divisors (see below), whose sum is σ = 201640899882240. Its totient is φ = 69395823360000.

The previous prime is 121113585311051. The next prime is 121113585311167.

121113585311121 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 3 + 5 + 8 + 531 + 112 + 1 = 666.

121113585311121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121113585311121 - 2¹³ = 121113585302929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121113585311171) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47701292670 + ... + 47701295208.

It is an arithmetic number, because the mean of its divisors is an integer number (1400284026960).

Almost surely, 2^{121113585311121} is an apocalyptic number.

It is an amenable number.

121113585311121 is a deficient number, since it is larger than the sum of its proper divisors (80527314571119).

121113585311121 is a wasteful number, since it uses less digits than its factorization.

121113585311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5024 counting only the distinct ones).

The product of its digits is 7200, while the sum is 36.

The spelling of 121113585311121 in words is "one hundred twenty-one trillion, one hundred thirteen billion, five hundred eighty-five million, three hundred eleven thousand, one hundred twenty-one".