120511104 has 128 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 34028544.

The previous prime is 120511093. The next prime is 120511141. The reversal of 120511104 is 401115021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 287407 + ... + 287825.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^120511104 is an apocalyptic number.

120511104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

120511104 is an abundant number, since it is smaller than the sum of its proper divisors (249626496).

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

120511104 is a wasteful number, since it uses less digits than its factorization.

120511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 120511104 is about 10977.7549617397. The cubic root of 120511104 is about 493.9416957092.

Adding to 120511104 its reverse (401115021), we get a palindrome (521626125).

The spelling of 120511104 in words is "one hundred twenty million, five hundred eleven thousand, one hundred four".