122768141184 has 192 divisors, whose sum is σ = 394545518640. Its totient is φ = 37774688256.

The previous prime is 122768141149. The next prime is 122768141201. The reversal of 122768141184 is 481141867221.

122768141184 is a `hidden beast` number, since 1 + 227 + 6 + 8 + 1 + 411 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252544 + ... + 556160.

Almost surely, 2^122768141184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122768141184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197272759320).

122768141184 is an abundant number, since it is smaller than the sum of its proper divisors (271777377456).

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

122768141184 is an equidigital number, since it uses as much as digits as its factorization.

122768141184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303659 (or 303635 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The spelling of 122768141184 in words is "one hundred twenty-two billion, seven hundred sixty-eight million, one hundred forty-one thousand, one hundred eighty-four".