120442167 has 16 divisors (see below), whose sum is σ = 179534080. Its totient is φ = 79799256.

The previous prime is 120442111. The next prime is 120442171. The reversal of 120442167 is 761244021.

It is not a de Polignac number, because 120442167 - 2⁷ = 120442039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120442167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120442367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9283 + ... + 18084.

It is an arithmetic number, because the mean of its divisors is an integer number (11220880).

Almost surely, 2^120442167 is an apocalyptic number.

120442167 is a deficient number, since it is larger than the sum of its proper divisors (59091913).

120442167 is a wasteful number, since it uses less digits than its factorization.

120442167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27539 (or 27533 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 120442167 is about 10974.6146629392. The cubic root of 120442167 is about 493.8474931768.

Adding to 120442167 its reverse (761244021), we get a palindrome (881686188).

The spelling of 120442167 in words is "one hundred twenty million, four hundred forty-two thousand, one hundred sixty-seven".