122405230080 has 800 divisors, whose sum is σ = 511570382400. Its totient is φ = 27962081280.

The previous prime is 122405230063. The next prime is 122405230151. The reversal of 122405230080 is 80032504221.

122405230080 is a `hidden beast` number, since 1 + 22 + 40 + 523 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71123620 + ... + 71125340.

It is an arithmetic number, because the mean of its divisors is an integer number (639462978).

Almost surely, 2^122405230080 is an apocalyptic number.

122405230080 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 122405230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255785191200).

122405230080 is an abundant number, since it is smaller than the sum of its proper divisors (389165152320).

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

122405230080 is an frugal number, since it uses more digits than its factorization.

122405230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 122405230080 in words is "one hundred twenty-two billion, four hundred five million, two hundred thirty thousand, eighty".