122142667 has 2 divisors, whose sum is σ = 122142668. Its totient is φ = 122142666.

The previous prime is 122142607. The next prime is 122142677. The reversal of 122142667 is 766241221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122142667 - 2¹⁹ = 121618379 is a prime.

It is a super-2 number, since 2×122142667² = 29837662203745778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122142607) 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 as a sum of consecutive naturals, namely, 61071333 + 61071334.

It is an arithmetic number, because the mean of its divisors is an integer number (61071334).

Almost surely, 2^122142667 is an apocalyptic number.

122142667 is a deficient number, since it is larger than the sum of its proper divisors (1).

122142667 is an equidigital number, since it uses as much as digits as its factorization.

122142667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 31.

The square root of 122142667 is about 11051.8173618641. The cubic root of 122142667 is about 496.1608195020.

Adding to 122142667 its reverse (766241221), we get a palindrome (888383888).

The spelling of 122142667 in words is "one hundred twenty-two million, one hundred forty-two thousand, six hundred sixty-seven".