122442512145135 has 64 divisors (see below), whose sum is σ = 246724947667968. Its totient is φ = 50466466520064.

The previous prime is 122442512145097. The next prime is 122442512145143. The reversal of 122442512145135 is 531541215244221.

It is not a de Polignac number, because 122442512145135 - 2⁶ = 122442512145071 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 63 ways as a sum of consecutive naturals, for example, 1042981702 + ... + 1043099091.

It is an arithmetic number, because the mean of its divisors is an integer number (3855077307312).

Almost surely, 2^{122442512145135} is an apocalyptic number.

122442512145135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122442512145135 is an abundant number, since it is smaller than the sum of its proper divisors (124282435522833).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122442512145135 is a wasteful number, since it uses less digits than its factorization.

122442512145135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086080864.

The product of its digits is 384000, while the sum is 42.

Adding to 122442512145135 its reverse (531541215244221), we get a palindrome (653983727389356).

The spelling of 122442512145135 in words is "one hundred twenty-two trillion, four hundred forty-two billion, five hundred twelve million, one hundred forty-five thousand, one hundred thirty-five".