122833601088 has 168 divisors, whose sum is σ = 357540580320. Its totient is φ = 37189785600.

The previous prime is 122833601071. The next prime is 122833601113. The reversal of 122833601088 is 880106338221.

122833601088 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48530383 + ... + 48532913.

It is an arithmetic number, because the mean of its divisors is an integer number (2128217740).

Almost surely, 2^122833601088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122833601088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178770290160).

122833601088 is an abundant number, since it is smaller than the sum of its proper divisors (234706979232).

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

122833601088 is a wasteful number, since it uses less digits than its factorization.

122833601088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 122833601088 in words is "one hundred twenty-two billion, eight hundred thirty-three million, six hundred one thousand, eighty-eight".