122360967168 has 208 divisors, whose sum is σ = 357782880000. Its totient is φ = 36884643840.

The previous prime is 122360967109. The next prime is 122360967259. The reversal of 122360967168 is 861769063221.

It is a self number, because there is not a number n which added to its sum of digits gives 122360967168.

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 15 ways as a sum of consecutive naturals, for example, 26896158 + ... + 26900706.

It is an arithmetic number, because the mean of its divisors is an integer number (1720110000).

Almost surely, 2^122360967168 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 122360967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178891440000).

122360967168 is an abundant number, since it is smaller than the sum of its proper divisors (235421912832).

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

122360967168 is a wasteful number, since it uses less digits than its factorization.

122360967168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 122360967168 in words is "one hundred twenty-two billion, three hundred sixty million, nine hundred sixty-seven thousand, one hundred sixty-eight".