12136320 has 288 divisors, whose sum is σ = 49884120. Its totient is φ = 2709504.

The previous prime is 12136303. The next prime is 12136321. The reversal of 12136320 is 2363121.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 12136293 and 12136302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12136321) 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 35 ways as a sum of consecutive naturals, for example, 282219 + ... + 282261.

Almost surely, 2^12136320 is an apocalyptic number.

12136320 is a gapful number since it is divisible by the number (10) 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 12136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24942060).

12136320 is an abundant number, since it is smaller than the sum of its proper divisors (37747800).

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

12136320 is a wasteful number, since it uses less digits than its factorization.

12136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12136320 is about 3483.7221473591. The cubic root of 12136320 is about 229.8065165502.

Adding to 12136320 its reverse (2363121), we get a palindrome (14499441).

The spelling of 12136320 in words is "twelve million, one hundred thirty-six thousand, three hundred twenty".