122066261307 has 32 divisors (see below), whose sum is σ = 183433282560. Its totient is φ = 80210632320.

The previous prime is 122066261281. The next prime is 122066261329. The reversal of 122066261307 is 703162660221.

122066261307 is a `hidden beast` number, since 1 + 2 + 20 + 6 + 626 + 1 + 3 + 0 + 7 = 666.

It is not a de Polignac number, because 122066261307 - 2¹² = 122066257211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122066268307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11970403 + ... + 11980595.

It is an arithmetic number, because the mean of its divisors is an integer number (5732290080).

Almost surely, 2^122066261307 is an apocalyptic number.

122066261307 is a deficient number, since it is larger than the sum of its proper divisors (61367021253).

122066261307 is a wasteful number, since it uses less digits than its factorization.

122066261307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16520 (or 16514 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 122066261307 in words is "one hundred twenty-two billion, sixty-six million, two hundred sixty-one thousand, three hundred seven".