122663232 has 168 divisors, whose sum is σ = 376586496. Its totient is φ = 38083584.

The previous prime is 122663227. The next prime is 122663239. The reversal of 122663232 is 232366221.

122663232 is a `hidden beast` number, since 1 + 2 + 26 + 632 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122663196 and 122663205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122663239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622558 + ... + 622754.

Almost surely, 2^122663232 is an apocalyptic number.

122663232 is a gapful number since it is divisible by the number (12) 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 122663232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248).

122663232 is an abundant number, since it is smaller than the sum of its proper divisors (253923264).

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

122663232 is a wasteful number, since it uses less digits than its factorization.

122663232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

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

The square root of 122663232 is about 11075.3434258266. The cubic root of 122663232 is about 496.8646900910.

The spelling of 122663232 in words is "one hundred twenty-two million, six hundred sixty-three thousand, two hundred thirty-two".