122328078828120 has 768 divisors, whose sum is σ = 444741120046080. Its totient is φ = 28911302246400.

The previous prime is 122328078828097. The next prime is 122328078828121. The reversal of 122328078828120 is 21828870823221.

122328078828120 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 280 + 7 + 88 + 281 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122328078828121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17839879732 + ... + 17839886588.

It is an arithmetic number, because the mean of its divisors is an integer number (579090000060).

Almost surely, 2^{122328078828120} is an apocalyptic number.

122328078828120 is a gapful number since it is divisible by the number (10) 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 122328078828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222370560023040).

122328078828120 is an abundant number, since it is smaller than the sum of its proper divisors (322413041217960).

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

122328078828120 is a wasteful number, since it uses less digits than its factorization.

122328078828120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 122328078828120 in words is "one hundred twenty-two trillion, three hundred twenty-eight billion, seventy-eight million, eight hundred twenty-eight thousand, one hundred twenty".