122316192768 has 704 divisors, whose sum is σ = 423994291200. Its totient is φ = 31068979200.

The previous prime is 122316192763. The next prime is 122316192769. The reversal of 122316192768 is 867291613221.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×122316192768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122316192763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 707029930 + ... + 707030102.

Almost surely, 2^122316192768 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 122316192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211997145600).

122316192768 is an abundant number, since it is smaller than the sum of its proper divisors (301678098432).

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

122316192768 is a wasteful number, since it uses less digits than its factorization.

122316192768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 257 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 122316192768 in words is "one hundred twenty-two billion, three hundred sixteen million, one hundred ninety-two thousand, seven hundred sixty-eight".