122435584128 has 1536 divisors, whose sum is σ = 483822720000. Its totient is φ = 30019092480.

The previous prime is 122435584123. The next prime is 122435584129. The reversal of 122435584128 is 821485534221.

122435584128 is a `hidden beast` number, since 1 + 2 + 2 + 43 + 5 + 584 + 1 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122435584121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2075179363 + ... + 2075179421.

It is an arithmetic number, because the mean of its divisors is an integer number (314988750).

Almost surely, 2^122435584128 is an apocalyptic number.

122435584128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122435584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241911360000).

122435584128 is an abundant number, since it is smaller than the sum of its proper divisors (361387135872).

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

122435584128 is a wasteful number, since it uses less digits than its factorization.

122435584128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 122435584128 in words is "one hundred twenty-two billion, four hundred thirty-five million, five hundred eighty-four thousand, one hundred twenty-eight".