12311512400000 has 768 divisors, whose sum is σ = 34207654320000. Its totient is φ = 4376064000000.

The previous prime is 12311512399969. The next prime is 12311512400003. The reversal of 12311512400000 is 421511321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12311512400003) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 58348399895 + ... + 58348400105.

Almost surely, 2^{12311512400000} is an apocalyptic number.

12311512400000 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 12311512400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17103827160000).

12311512400000 is an abundant number, since it is smaller than the sum of its proper divisors (21896141920000).

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

12311512400000 is an equidigital number, since it uses as much as digits as its factorization.

12311512400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 12311512400000 its reverse (421511321), we get a palindrome (12311933911321).

The spelling of 12311512400000 in words is "twelve trillion, three hundred eleven billion, five hundred twelve million, four hundred thousand".