122366304 has 144 divisors (see below), whose sum is σ = 366269904. Its totient is φ = 38707200.

The previous prime is 122366291. The next prime is 122366311. The reversal of 122366304 is 403663221.

122366304 is a `hidden beast` number, since 1 + 2 + 23 + 6 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 507624 + ... + 507864.

It is an arithmetic number, because the mean of its divisors is an integer number (2543541).

Almost surely, 2^122366304 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 122366304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183134952).

122366304 is an abundant number, since it is smaller than the sum of its proper divisors (243903600).

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

122366304 is a wasteful number, since it uses less digits than its factorization.

122366304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 122366304 is about 11061.9303921151. The cubic root of 122366304 is about 496.4634499370.

The spelling of 122366304 in words is "one hundred twenty-two million, three hundred sixty-six thousand, three hundred four".