12315113012000 has 192 divisors, whose sum is σ = 30854601243648. Its totient is φ = 4829904000000.

The previous prime is 12315113011967. The next prime is 12315113012047. The reversal of 12315113012000 is 21031151321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41464025 + ... + 41759975.

It is an arithmetic number, because the mean of its divisors is an integer number (160701048144).

Almost surely, 2^{12315113012000} is an apocalyptic number.

12315113012000 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 12315113012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427300621824).

12315113012000 is an abundant number, since it is smaller than the sum of its proper divisors (18539488231648).

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

12315113012000 is a wasteful number, since it uses less digits than its factorization.

12315113012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296180 (or 296162 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 12315113012000 its reverse (21031151321), we get a palindrome (12336144163321).

The spelling of 12315113012000 in words is "twelve trillion, three hundred fifteen billion, one hundred thirteen million, twelve thousand".