122636304 has 120 divisors (see below), whose sum is σ = 396938880. Its totient is φ = 34619904.

The previous prime is 122636303. The next prime is 122636323. The reversal of 122636304 is 403636221.

122636304 is a `hidden beast` number, since 1 + 2 + 26 + 3 + 630 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122636303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89029 + ... + 90395.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2^122636304 is an apocalyptic number.

122636304 is a gapful number since it is divisible by the number (14) 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 122636304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

122636304 is an abundant number, since it is smaller than the sum of its proper divisors (274302576).

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

122636304 is a wasteful number, since it uses less digits than its factorization.

122636304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1468 counting only the distinct ones).

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

The square root of 122636304 is about 11074.1276857367. The cubic root of 122636304 is about 496.8283288785.

The spelling of 122636304 in words is "one hundred twenty-two million, six hundred thirty-six thousand, three hundred four".