122066406 has 128 divisors (see below), whose sum is σ = 349470720. Its totient is φ = 30650400.

The previous prime is 122066387. The next prime is 122066411. The reversal of 122066406 is 604660221.

It is a happy number.

122066406 is a `hidden beast` number, since 12 + 2 + 0 + 6 + 640 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 122066406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128425 + ... + 129371.

It is an arithmetic number, because the mean of its divisors is an integer number (2730240).

Almost surely, 2^122066406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122066406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174735360).

122066406 is an abundant number, since it is smaller than the sum of its proper divisors (227404314).

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

122066406 is a wasteful number, since it uses less digits than its factorization.

122066406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 122066406 is about 11048.3666666164. The cubic root of 122066406 is about 496.0575370081.

The spelling of 122066406 in words is "one hundred twenty-two million, sixty-six thousand, four hundred six".