12313221211200 has 1008 divisors, whose sum is σ = 50667947293824. Its totient is φ = 2594879078400.

The previous prime is 12313221211171. The next prime is 12313221211229. The reversal of 12313221211200 is 211212231321.

It is an interprime number because it is at equal distance from previous prime (12313221211171) and next prime (12313221211229).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3354185365 + ... + 3354189035.

It is an arithmetic number, because the mean of its divisors is an integer number (50265820728).

Almost surely, 2^{12313221211200} is an apocalyptic number.

12313221211200 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 12313221211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25333973646912).

12313221211200 is an abundant number, since it is smaller than the sum of its proper divisors (38354726082624).

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

12313221211200 is a wasteful number, since it uses less digits than its factorization.

12313221211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12313221211200 its reverse (211212231321), we get a palindrome (12524433442521).

The spelling of 12313221211200 in words is "twelve trillion, three hundred thirteen billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".