12312320011200 has 504 divisors, whose sum is σ = 47751447992976. Its totient is φ = 2984036352000.

The previous prime is 12312320011193. The next prime is 12312320011213. The reversal of 12312320011200 is 211002321321.

12312320011200 is a `hidden beast` number, since 1 + 2 + 312 + 320 + 0 + 11 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 835235830 + ... + 835250570.

It is an arithmetic number, because the mean of its divisors is an integer number (94744936494).

Almost surely, 2^{12312320011200} is an apocalyptic number.

12312320011200 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 12312320011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23875723996488).

12312320011200 is an abundant number, since it is smaller than the sum of its proper divisors (35439127981776).

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

12312320011200 is a wasteful number, since it uses less digits than its factorization.

12312320011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20053 (or 20035 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12312320011200 its reverse (211002321321), we get a palindrome (12523322332521).

The spelling of 12312320011200 in words is "twelve trillion, three hundred twelve billion, three hundred twenty million, eleven thousand, two hundred".