12211318259712 has 640 divisors, whose sum is σ = 42862057373520. Its totient is φ = 3415647191040.

The previous prime is 12211318259689. The next prime is 12211318259713. The reversal of 12211318259712 is 21795281311221.

12211318259712 is a `hidden beast` number, since 1 + 2 + 2 + 11 + 31 + 8 + 2 + 597 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211318259713) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 379535658 + ... + 379567830.

Almost surely, 2^{12211318259712} is an apocalyptic number.

12211318259712 is a gapful number since it is divisible by the number (12) 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 12211318259712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431028686760).

12211318259712 is an abundant number, since it is smaller than the sum of its proper divisors (30650739113808).

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

12211318259712 is an equidigital number, since it uses as much as digits as its factorization.

12211318259712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32239 (or 32202 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The spelling of 12211318259712 in words is "twelve trillion, two hundred eleven billion, three hundred eighteen million, two hundred fifty-nine thousand, seven hundred twelve".