12331683000000 has 2940 divisors, whose sum is σ = 57481448603040. Its totient is φ = 2590963200000.

The previous prime is 12331682999939. The next prime is 12331683000001. The reversal of 12331683000000 is 38613321.

It is a happy number.

12331683000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2940).

It is a super-2 number, since 2×12331683000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12331683000001) by changing a digit.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 51596999881 + ... + 51597000119.

Almost surely, 2^{12331683000000} is an apocalyptic number.

12331683000000 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 12331683000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740724301520).

12331683000000 is an abundant number, since it is smaller than the sum of its proper divisors (45149765603040).

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

12331683000000 is an frugal number, since it uses more digits than its factorization.

12331683000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12331683000000 in words is "twelve trillion, three hundred thirty-one billion, six hundred eighty-three million", and thus it is an aban number.