122636808 has 96 divisors (see below), whose sum is σ = 396309600. Its totient is φ = 35036064.

The previous prime is 122636807. The next prime is 122636893. The reversal of 122636808 is 808636221.

122636808 is a `hidden beast` number, since 12 + 2 + 636 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122636803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4791 + ... + 16377.

It is an arithmetic number, because the mean of its divisors is an integer number (4128225).

Almost surely, 2^122636808 is an apocalyptic number.

122636808 is a gapful number since it is divisible by the number (18) 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 122636808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198154800).

122636808 is an abundant number, since it is smaller than the sum of its proper divisors (273672792).

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

122636808 is a wasteful number, since it uses less digits than its factorization.

122636808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11599 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 122636808 is about 11074.1504414560. The cubic root of 122636808 is about 496.8290094848.

The spelling of 122636808 in words is "one hundred twenty-two million, six hundred thirty-six thousand, eight hundred eight".