120121128 has 48 divisors (see below), whose sum is σ = 326164020. Its totient is φ = 39937536.

The previous prime is 120121123. The next prime is 120121163. The reversal of 120121128 is 821121021.

It can be written as a sum of positive squares in 2 ways, for example, as 118330884 + 1790244 = 10878^2 + 1338^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 120121128.

It is not an unprimeable number, because it can be changed into a prime (120121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29250 + ... + 33102.

Almost surely, 2^120121128 is an apocalyptic number.

120121128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120121128 is an abundant number, since it is smaller than the sum of its proper divisors (206042892).

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

120121128 is a wasteful number, since it uses less digits than its factorization.

120121128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 120121128 is about 10959.9784671321. The cubic root of 120121128 is about 493.4083186887.

Adding to 120121128 its reverse (821121021), we get a palindrome (941242149).

The spelling of 120121128 in words is "one hundred twenty million, one hundred twenty-one thousand, one hundred twenty-eight".