12316511000 has 128 divisors (see below), whose sum is σ = 29504554560. Its totient is φ = 4810624000.

The previous prime is 12316510991. The next prime is 12316511003. The reversal of 12316511000 is 11561321.

12316511000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12316511003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14892587 + ... + 14893413.

Almost surely, 2^12316511000 is an apocalyptic number.

12316511000 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 12316511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752277280).

12316511000 is an abundant number, since it is smaller than the sum of its proper divisors (17188043560).

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

12316511000 is a wasteful number, since it uses less digits than its factorization.

12316511000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1168 counting only the distinct ones).

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

The spelling of 12316511000 in words is "twelve billion, three hundred sixteen million, five hundred eleven thousand".