122121120111167 has 2 divisors, whose sum is σ = 122121120111168. Its totient is φ = 122121120111166.

The previous prime is 122121120111139. The next prime is 122121120111293. The reversal of 122121120111167 is 761111021121221.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122121120111167 - 2¹² = 122121120107071 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121120111127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060560055583 + 61060560055584.

It is an arithmetic number, because the mean of its divisors is an integer number (61060560055584).

Almost surely, 2^{122121120111167} is an apocalyptic number.

122121120111167 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121120111167 is an equidigital number, since it uses as much as digits as its factorization.

122121120111167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 29.

Adding to 122121120111167 its reverse (761111021121221), we get a palindrome (883232141232388).

The spelling of 122121120111167 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred eleven thousand, one hundred sixty-seven".