122438218266 has 192 divisors, whose sum is σ = 332562048000. Its totient is φ = 31694353920.

The previous prime is 122438218247. The next prime is 122438218267. The reversal of 122438218266 is 662812834221.

122438218266 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 382 + 1 + 8 + 266 = 666.

It is a super-2 number, since 2×122438218266² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122438218267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61248735 + ... + 61250733.

It is an arithmetic number, because the mean of its divisors is an integer number (1732094000).

Almost surely, 2^122438218266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122438218266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166281024000).

122438218266 is an abundant number, since it is smaller than the sum of its proper divisors (210123829734).

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

122438218266 is a wasteful number, since it uses less digits than its factorization.

122438218266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2698 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 122438218266 in words is "one hundred twenty-two billion, four hundred thirty-eight million, two hundred eighteen thousand, two hundred sixty-six".