12180206223360 has 1536 divisors, whose sum is σ = 51231802752000. Its totient is φ = 2614968188928.

The previous prime is 12180206223293. The next prime is 12180206223397. The reversal of 12180206223360 is 6332260208121.

12180206223360 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 0 + 20 + 622 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33928150861 + ... + 33928151219.

It is an arithmetic number, because the mean of its divisors is an integer number (33354038250).

Almost surely, 2^{12180206223360} is an apocalyptic number.

12180206223360 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 12180206223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25615901376000).

12180206223360 is an abundant number, since it is smaller than the sum of its proper divisors (39051596528640).

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

12180206223360 is a wasteful number, since it uses less digits than its factorization.

12180206223360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12180206223360 in words is "twelve trillion, one hundred eighty billion, two hundred six million, two hundred twenty-three thousand, three hundred sixty".