12121632 has 36 divisors (see below), whose sum is σ = 34471710. Its totient is φ = 4040448.

The previous prime is 12121631. The next prime is 12121661. The reversal of 12121632 is 23612121.

12121632 is a `hidden beast` number, since 12 + 1 + 21 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6533136 + 5588496 = 2556^2 + 2364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12121631) 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 5 ways as a sum of consecutive naturals, for example, 20757 + ... + 21332.

Almost surely, 2^12121632 is an apocalyptic number.

12121632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121632 is an abundant number, since it is smaller than the sum of its proper divisors (22350078).

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

12121632 is a wasteful number, since it uses less digits than its factorization.

12121632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42105 (or 42094 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 12121632 is about 3481.6134190918. The cubic root of 12121632 is about 229.7137712280.

Adding to 12121632 its reverse (23612121), we get a palindrome (35733753).

The spelling of 12121632 in words is "twelve million, one hundred twenty-one thousand, six hundred thirty-two".