120229008 has 80 divisors (see below), whose sum is σ = 320336640. Its totient is φ = 38837248.

The previous prime is 120229001. The next prime is 120229009. The reversal of 120229008 is 800922021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (120229001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308878 + ... + 309266.

It is an arithmetic number, because the mean of its divisors is an integer number (4004208).

Almost surely, 2^120229008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120229008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160168320).

120229008 is an abundant number, since it is smaller than the sum of its proper divisors (200107632).

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

120229008 is a wasteful number, since it uses less digits than its factorization.

120229008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 120229008 is about 10964.8989051427. The cubic root of 120229008 is about 493.5559834207. Note that the first 3 decimals are identical.

The spelling of 120229008 in words is "one hundred twenty million, two hundred twenty-nine thousand, eight".