12310412000 has 192 divisors, whose sum is σ = 30946406400. Its totient is φ = 4811788800.

The previous prime is 12310411979. The next prime is 12310412047. The reversal of 12310412000 is 21401321.

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 31 ways as a sum of consecutive naturals, for example, 51507881 + ... + 51508119.

It is an arithmetic number, because the mean of its divisors is an integer number (161179200).

Almost surely, 2^12310412000 is an apocalyptic number.

12310412000 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 12310412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15473203200).

12310412000 is an abundant number, since it is smaller than the sum of its proper divisors (18635994400).

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

12310412000 is a wasteful number, since it uses less digits than its factorization.

12310412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12310412000 its reverse (21401321), we get a palindrome (12331813321).

The spelling of 12310412000 in words is "twelve billion, three hundred ten million, four hundred twelve thousand".