121632336 has 120 divisors (see below), whose sum is σ = 395056064. Its totient is φ = 34214400.

The previous prime is 121632307. The next prime is 121632359. The reversal of 121632336 is 633236121.

It is a happy number.

121632336 is a `hidden beast` number, since 1 + 21 + 632 + 3 + 3 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66636 + ... + 68436.

Almost surely, 2^121632336 is an apocalyptic number.

121632336 is a gapful number since it is divisible by the number (16) 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 121632336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197528032).

121632336 is an abundant number, since it is smaller than the sum of its proper divisors (273423728).

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

121632336 is a wasteful number, since it uses less digits than its factorization.

121632336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1880 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 121632336 is about 11028.7050917141. The cubic root of 121632336 is about 495.4688425998.

Adding to 121632336 its reverse (633236121), we get a palindrome (754868457).

The spelling of 121632336 in words is "one hundred twenty-one million, six hundred thirty-two thousand, three hundred thirty-six".