122164146567 has 32 divisors (see below), whose sum is σ = 189830246400. Its totient is φ = 77555587104.

The previous prime is 122164146491. The next prime is 122164146589. The reversal of 122164146567 is 765641461221.

122164146567 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 6 + 41 + 46 + 567 = 666.

It is not a de Polignac number, because 122164146567 - 2⁷ = 122164146439 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122164145567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1253967 + ... + 1347872.

It is an arithmetic number, because the mean of its divisors is an integer number (5932195200).

Almost surely, 2^122164146567 is an apocalyptic number.

122164146567 is a deficient number, since it is larger than the sum of its proper divisors (67666099833).

122164146567 is a wasteful number, since it uses less digits than its factorization.

122164146567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601932 (or 2601926 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 122164146567 in words is "one hundred twenty-two billion, one hundred sixty-four million, one hundred forty-six thousand, five hundred sixty-seven".