109200121128 has 96 divisors (see below), whose sum is σ = 339221026560. Its totient is φ = 31087359360.

The previous prime is 109200121123. The next prime is 109200121139. The reversal of 109200121128 is 821121002901.

109200121128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (109200121123) 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 23 ways as a sum of consecutive naturals, for example, 251488 + ... + 530703.

It is an arithmetic number, because the mean of its divisors is an integer number (3533552360).

Almost surely, 2^109200121128 is an apocalyptic number.

109200121128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109200121128 is an abundant number, since it is smaller than the sum of its proper divisors (230020905432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109200121128 is a wasteful number, since it uses less digits than its factorization.

109200121128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782487 (or 782480 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 109200121128 in words is "one hundred nine billion, two hundred million, one hundred twenty-one thousand, one hundred twenty-eight".