12133133000 has 64 divisors (see below), whose sum is σ = 28526584320. Its totient is φ = 4830168000.

The previous prime is 12133132933. The next prime is 12133133017. The reversal of 12133133000 is 33133121.

It is a self number, because there is not a number n which added to its sum of digits gives 12133133000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182249 + ... + 239751.

It is an arithmetic number, because the mean of its divisors is an integer number (445727880).

Almost surely, 2^12133133000 is an apocalyptic number.

12133133000 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 12133133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263292160).

12133133000 is an abundant number, since it is smaller than the sum of its proper divisors (16393451320).

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

12133133000 is a wasteful number, since it uses less digits than its factorization.

12133133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57735 (or 57721 counting only the distinct ones).

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

Adding to 12133133000 its reverse (33133121), we get a palindrome (12166266121).

The spelling of 12133133000 in words is "twelve billion, one hundred thirty-three million, one hundred thirty-three thousand".