122735320680 has 256 divisors, whose sum is σ = 445616640000. Its totient is φ = 26417553408.

The previous prime is 122735320639. The next prime is 122735320703. The reversal of 122735320680 is 86023537221.

122735320680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2642296 + ... + 2688344.

It is an arithmetic number, because the mean of its divisors is an integer number (1740690000).

Almost surely, 2^122735320680 is an apocalyptic number.

122735320680 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 122735320680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222808320000).

122735320680 is an abundant number, since it is smaller than the sum of its proper divisors (322881319320).

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

122735320680 is a wasteful number, since it uses less digits than its factorization.

122735320680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46256 (or 46252 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 122735320680 in words is "one hundred twenty-two billion, seven hundred thirty-five million, three hundred twenty thousand, six hundred eighty".