12213123312000 has 512 divisors, whose sum is σ = 44126348797440. Its totient is φ = 2970074112000.

The previous prime is 12213123311927. The next prime is 12213123312023. The reversal of 12213123312000 is 21332131221.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 51674095 + ... + 51909905.

It is an arithmetic number, because the mean of its divisors is an integer number (86184274995).

Almost surely, 2^{12213123312000} is an apocalyptic number.

12213123312000 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 12213123312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063174398720).

12213123312000 is an abundant number, since it is smaller than the sum of its proper divisors (31913225485440).

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

12213123312000 is a wasteful number, since it uses less digits than its factorization.

12213123312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235939 (or 235917 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12213123312000 its reverse (21332131221), we get a palindrome (12234455443221).

The spelling of 12213123312000 in words is "twelve trillion, two hundred thirteen billion, one hundred twenty-three million, three hundred twelve thousand".