121112011129 has 16 divisors (see below), whose sum is σ = 122422748800. Its totient is φ = 119810275200.

The previous prime is 121112011121. The next prime is 121112011151. The reversal of 121112011129 is 921110211121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 121112011129 - 2³ = 121112011121 is a prime.

It is a super-2 number, since 2×121112011129² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121112011121) 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 15 ways as a sum of consecutive naturals, for example, 28827229 + ... + 28831429.

It is an arithmetic number, because the mean of its divisors is an integer number (7651421800).

Almost surely, 2^121112011129 is an apocalyptic number.

It is an amenable number.

121112011129 is a deficient number, since it is larger than the sum of its proper divisors (1310737671).

121112011129 is a wasteful number, since it uses less digits than its factorization.

121112011129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 121112011129 in words is "one hundred twenty-one billion, one hundred twelve million, eleven thousand, one hundred twenty-nine".