122743116288 has 320 divisors, whose sum is σ = 393376072320. Its totient is φ = 37564563456.

The previous prime is 122743116281. The next prime is 122743116401. The reversal of 122743116288 is 882611347221.

122743116288 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 4 + 3 + 11 + 628 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (122743116281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35401531 + ... + 35404997.

It is an arithmetic number, because the mean of its divisors is an integer number (1229300226).

Almost surely, 2^122743116288 is an apocalyptic number.

122743116288 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 122743116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196688036160).

122743116288 is an abundant number, since it is smaller than the sum of its proper divisors (270632956032).

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

122743116288 is a wasteful number, since it uses less digits than its factorization.

122743116288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3682 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 122743116288 in words is "one hundred twenty-two billion, seven hundred forty-three million, one hundred sixteen thousand, two hundred eighty-eight".