122344124121135 has 144 divisors (see below), whose sum is σ = 250839994534272. Its totient is φ = 54987685401600.

The previous prime is 122344124121073. The next prime is 122344124121211. The reversal of 122344124121135 is 531121421443221.

122344124121135 is a `hidden beast` number, since 1 + 2 + 23 + 4 + 412 + 4 + 1 + 211 + 3 + 5 = 666.

It is not a de Polignac number, because 122344124121135 - 2¹⁰ = 122344124120111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122344124121135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 307414075 + ... + 307811795.

It is an arithmetic number, because the mean of its divisors is an integer number (1741944406488).

Almost surely, 2^{122344124121135} is an apocalyptic number.

122344124121135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122344124121135 is an abundant number, since it is smaller than the sum of its proper divisors (128495870413137).

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

122344124121135 is a wasteful number, since it uses less digits than its factorization.

122344124121135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400094 (or 400084 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 122344124121135 its reverse (531121421443221), we get a palindrome (653465545564356).

The spelling of 122344124121135 in words is "one hundred twenty-two trillion, three hundred forty-four billion, one hundred twenty-four million, one hundred twenty-one thousand, one hundred thirty-five".