12222161280000 has 2640 divisors, whose sum is σ = 53258173928960. Its totient is φ = 2741133312000.

The previous prime is 12222161279903. The next prime is 12222161280001. The reversal of 12222161280000 is 8216122221.

12222161280000 is a `hidden beast` number, since 1 + 2 + 22 + 21 + 612 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222161280001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 112129919946 + ... + 112129920054.

Almost surely, 2^{12222161280000} is an apocalyptic number.

12222161280000 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 12222161280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26629086964480).

12222161280000 is an abundant number, since it is smaller than the sum of its proper divisors (41036012648960).

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

12222161280000 is an equidigital number, since it uses as much as digits as its factorization.

12222161280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12222161280000 in words is "twelve trillion, two hundred twenty-two billion, one hundred sixty-one million, two hundred eighty thousand".