122797171728 has 960 divisors, whose sum is σ = 465890181120. Its totient is φ = 29262643200.

The previous prime is 122797171711. The next prime is 122797171789. The reversal of 122797171728 is 827171797221.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 966906801 + ... + 966906927.

It is an arithmetic number, because the mean of its divisors is an integer number (485302272).

Almost surely, 2^122797171728 is an apocalyptic number.

122797171728 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 122797171728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232945090560).

122797171728 is an abundant number, since it is smaller than the sum of its proper divisors (343093009392).

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

122797171728 is a wasteful number, since it uses less digits than its factorization.

122797171728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 54.

The spelling of 122797171728 in words is "one hundred twenty-two billion, seven hundred ninety-seven million, one hundred seventy-one thousand, seven hundred twenty-eight".