122641167 has 16 divisors (see below), whose sum is σ = 179695872. Its totient is φ = 73782720.

The previous prime is 122641159. The next prime is 122641187. The reversal of 122641167 is 761146221.

It is not a de Polignac number, because 122641167 - 2³ = 122641159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122641187) 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, 9043 + ... + 18084.

It is an arithmetic number, because the mean of its divisors is an integer number (11230992).

Almost surely, 2^122641167 is an apocalyptic number.

122641167 is a deficient number, since it is larger than the sum of its proper divisors (57054705).

122641167 is a wasteful number, since it uses less digits than its factorization.

122641167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27278.

The product of its digits is 4032, while the sum is 30.

The square root of 122641167 is about 11074.3472493868. The cubic root of 122641167 is about 496.8348958415.

Adding to 122641167 its reverse (761146221), we get a palindrome (883787388).

It can be divided in two parts, 12264 and 1167, that added together give a palindrome (13431).

The spelling of 122641167 in words is "one hundred twenty-two million, six hundred forty-one thousand, one hundred sixty-seven".