122539638126720 has 256 divisors, whose sum is σ = 391734543790080. Its totient is φ = 32581963038720.

The previous prime is 122539638126611. The next prime is 122539638126727. The reversal of 122539638126720 is 27621836935221.

It is not an unprimeable number, because it can be changed into a prime (122539638126727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2586237430 + ... + 2586284810.

It is an arithmetic number, because the mean of its divisors is an integer number (1530213061680).

Almost surely, 2^{122539638126720} is an apocalyptic number.

122539638126720 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 122539638126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195867271895040).

122539638126720 is an abundant number, since it is smaller than the sum of its proper divisors (269194905663360).

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

122539638126720 is a wasteful number, since it uses less digits than its factorization.

122539638126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51303 (or 51291 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 122539638126720 in words is "one hundred twenty-two trillion, five hundred thirty-nine billion, six hundred thirty-eight million, one hundred twenty-six thousand, seven hundred twenty".