12636435120 has 80 divisors (see below), whose sum is σ = 39312564192. Its totient is φ = 3357706240.

The previous prime is 12636435079. The next prime is 12636435131. The reversal of 12636435120 is 2153463621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×12636435120³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26247 + ... + 161126.

Almost surely, 2^12636435120 is an apocalyptic number.

12636435120 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 12636435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656282096).

12636435120 is an abundant number, since it is smaller than the sum of its proper divisors (26676129072).

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

12636435120 is a wasteful number, since it uses less digits than its factorization.

12636435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187670 (or 187664 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 12636435120 its reverse (2153463621), we get a palindrome (14789898741).

The spelling of 12636435120 in words is "twelve billion, six hundred thirty-six million, four hundred thirty-five thousand, one hundred twenty".