122066260640 has 96 divisors (see below), whose sum is σ = 293849473680. Its totient is φ = 47904768000.

The previous prime is 122066260619. The next prime is 122066260649. The reversal of 122066260640 is 46062660221.

It can be written as a sum of positive squares in 8 ways, for example, as 29209544464 + 92856716176 = 170908^2 + 304724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122066260640.

It is not an unprimeable number, because it can be changed into a prime (122066260649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3898166 + ... + 3929354.

Almost surely, 2^122066260640 is an apocalyptic number.

122066260640 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 122066260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146924736840).

122066260640 is an abundant number, since it is smaller than the sum of its proper divisors (171783213040).

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

122066260640 is a wasteful number, since it uses less digits than its factorization.

122066260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31666 (or 31658 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 122066260640 in words is "one hundred twenty-two billion, sixty-six million, two hundred sixty thousand, six hundred forty".