12211278897312 has 576 divisors, whose sum is σ = 38855208712320. Its totient is φ = 3606620774400.

The previous prime is 12211278897299. The next prime is 12211278897317. The reversal of 12211278897312 is 21379887211221.

12211278897312 is a `hidden beast` number, since 1 + 2 + 211 + 27 + 8 + 8 + 97 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (12211278897317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19920519918 + ... + 19920520530.

It is an arithmetic number, because the mean of its divisors is an integer number (67456959570).

Almost surely, 2^{12211278897312} is an apocalyptic number.

12211278897312 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 12211278897312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19427604356160).

12211278897312 is an abundant number, since it is smaller than the sum of its proper divisors (26643929815008).

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

12211278897312 is a wasteful number, since it uses less digits than its factorization.

12211278897312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1426 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 12211278897312 in words is "twelve trillion, two hundred eleven billion, two hundred seventy-eight million, eight hundred ninety-seven thousand, three hundred twelve".