122922416711808 has 384 divisors, whose sum is σ = 417423218135040. Its totient is φ = 33977258956800.

The previous prime is 122922416711803. The next prime is 122922416711813. The reversal of 122922416711808 is 808117614229221.

122922416711808 is a `hidden beast` number, since 1 + 2 + 29 + 22 + 416 + 7 + 1 + 180 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (122922416711803) and next prime (122922416711813).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (122922416711803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826622743 + ... + 826771433.

It is an arithmetic number, because the mean of its divisors is an integer number (1087039630560).

Almost surely, 2^{122922416711808} is an apocalyptic number.

122922416711808 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 122922416711808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208711609067520).

122922416711808 is an abundant number, since it is smaller than the sum of its proper divisors (294500801423232).

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

122922416711808 is a wasteful number, since it uses less digits than its factorization.

122922416711808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152056 (or 152041 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 122922416711808 in words is "one hundred twenty-two trillion, nine hundred twenty-two billion, four hundred sixteen million, seven hundred eleven thousand, eight hundred eight".