12133331000 has 192 divisors, whose sum is σ = 33224424480. Its totient is φ = 4135219200.

The previous prime is 12133330999. The next prime is 12133331099. The reversal of 12133331000 is 13333121.

12133331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12133331000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12133331000.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9456359 + ... + 9457641.

Almost surely, 2^12133331000 is an apocalyptic number.

12133331000 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 12133331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612212240).

12133331000 is an abundant number, since it is smaller than the sum of its proper divisors (21091093480).

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

12133331000 is a wasteful number, since it uses less digits than its factorization.

12133331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 12133331000 its reverse (13333121), we get a palindrome (12146664121).

The spelling of 12133331000 in words is "twelve billion, one hundred thirty-three million, three hundred thirty-one thousand".