122666208 has 144 divisors (see below), whose sum is σ = 380071440. Its totient is φ = 34535424.

The previous prime is 122666197. The next prime is 122666227. The reversal of 122666208 is 802666221.

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, 418510 + ... + 418802.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385).

Almost surely, 2^122666208 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 122666208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190035720).

122666208 is an abundant number, since it is smaller than the sum of its proper divisors (257405232).

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

122666208 is a wasteful number, since it uses less digits than its factorization.

122666208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 122666208 is about 11075.4777775047. The cubic root of 122666208 is about 496.8687082942.

The spelling of 122666208 in words is "one hundred twenty-two million, six hundred sixty-six thousand, two hundred eight".