122099967 has 48 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 69621120.

The previous prime is 122099953. The next prime is 122099977. The reversal of 122099967 is 769990221.

It is not a de Polignac number, because 122099967 - 2⁶ = 122099903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122099977) 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 47 ways as a sum of consecutive naturals, for example, 44098 + ... + 46784.

It is an arithmetic number, because the mean of its divisors is an integer number (4402944).

Almost surely, 2^122099967 is an apocalyptic number.

122099967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

122099967 is a deficient number, since it is larger than the sum of its proper divisors (89241345).

122099967 is a wasteful number, since it uses less digits than its factorization.

122099967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 122099967 is about 11049.8853840210. The cubic root of 122099967 is about 496.1029949465.

The spelling of 122099967 in words is "one hundred twenty-two million, ninety-nine thousand, nine hundred sixty-seven".