122081167 has 16 divisors (see below), whose sum is σ = 135596160. Its totient is φ = 109181952.

The previous prime is 122081161. The next prime is 122081173. The reversal of 122081167 is 761180221.

It is an interprime number because it is at equal distance from previous prime (122081161) and next prime (122081173).

It is a cyclic number.

It is not a de Polignac number, because 122081167 - 2¹⁹ = 121556879 is a prime.

It is a super-2 number, since 2×122081167² = 29807622672163778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122081161) 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, 169434 + ... + 170152.

It is an arithmetic number, because the mean of its divisors is an integer number (8474760).

Almost surely, 2^122081167 is an apocalyptic number.

122081167 is a deficient number, since it is larger than the sum of its proper divisors (13514993).

122081167 is a wasteful number, since it uses less digits than its factorization.

122081167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 122081167 is about 11049.0346637161. The cubic root of 122081167 is about 496.0775316171.

The spelling of 122081167 in words is "one hundred twenty-two million, eighty-one thousand, one hundred sixty-seven".