122871819168 has 144 divisors (see below), whose sum is σ = 399450332736. Its totient is φ = 35095956480.

The previous prime is 122871819167. The next prime is 122871819197. The reversal of 122871819168 is 861918178221.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122871819167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9273028 + ... + 9286268.

It is an arithmetic number, because the mean of its divisors is an integer number (2773960644).

Almost surely, 2^122871819168 is an apocalyptic number.

122871819168 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 122871819168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199725166368).

122871819168 is an abundant number, since it is smaller than the sum of its proper divisors (276578513568).

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

122871819168 is a wasteful number, since it uses less digits than its factorization.

122871819168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17867 (or 17856 counting only the distinct ones).

The product of its digits is 774144, while the sum is 54.

The spelling of 122871819168 in words is "one hundred twenty-two billion, eight hundred seventy-one million, eight hundred nineteen thousand, one hundred sixty-eight".