122788865682 has 486 divisors, whose sum is σ = 354556498023. Its totient is φ = 31791036816.

The previous prime is 122788865669. The next prime is 122788865707. The reversal of 122788865682 is 286568887221.

It can be written as a sum of positive squares in only one way, i.e., 61394432841 + 61394432841 = 247779^2 + 247779^2 .

It is a tau number, because it is divible by the number of its divisors (486).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247779.

It is a super-3 number, since 3×122788865682³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5338646323 + ... + 5338646345.

Almost surely, 2^122788865682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122788865682

122788865682 is an abundant number, since it is smaller than the sum of its proper divisors (231767632341).

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

122788865682 is an frugal number, since it uses more digits than its factorization.

122788865682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 54 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 122788865682 in words is "one hundred twenty-two billion, seven hundred eighty-eight million, eight hundred sixty-five thousand, six hundred eighty-two".