12180285936 has 720 divisors, whose sum is σ = 46263226464. Its totient is φ = 2954133504.

The previous prime is 12180285899. The next prime is 12180285947. The reversal of 12180285936 is 63958208121.

It is a junction number, because it is equal to n+sod(n) for n = 12180285891 and 12180285900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113834395 + ... + 113834501.

Almost surely, 2^12180285936 is an apocalyptic number.

12180285936 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 12180285936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23131613232).

12180285936 is an abundant number, since it is smaller than the sum of its proper divisors (34082940528).

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

12180285936 is a wasteful number, since it uses less digits than its factorization.

12180285936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 12180 and 285936, that added together give a square (298116 = 546²).

The spelling of 12180285936 in words is "twelve billion, one hundred eighty million, two hundred eighty-five thousand, nine hundred thirty-six".