12324312000 has 2240 divisors, whose sum is σ = 64438133760. Its totient is φ = 2239488000.

The previous prime is 12324311983. The next prime is 12324312053. The reversal of 12324312000 is 21342321.

Added to its reverse (21342321) it gives a square (12345654321 = 111111²).

12324312000 is a `hidden beast` number, since 1 + 2 + 32 + 431 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 319 ways as a sum of consecutive naturals, for example, 648647991 + ... + 648648009.

It is an arithmetic number, because the mean of its divisors is an integer number (28767024).

Almost surely, 2^12324312000 is an apocalyptic number.

12324312000 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 12324312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32219066880).

12324312000 is an abundant number, since it is smaller than the sum of its proper divisors (52113821760).

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

12324312000 is a wasteful number, since it uses less digits than its factorization.

12324312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12324312000 its reverse (21342321), we get a palindrome (12345654321).

The spelling of 12324312000 in words is "twelve billion, three hundred twenty-four million, three hundred twelve thousand".