12133123000 has 64 divisors (see below), whose sum is σ = 28471435200. Its totient is φ = 4839587200.

The previous prime is 12133122983. The next prime is 12133123019. The reversal of 12133123000 is 32133121.

It is a congruent number.

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, 342102 + ... + 375898.

It is an arithmetic number, because the mean of its divisors is an integer number (444866175).

Almost surely, 2^12133123000 is an apocalyptic number.

12133123000 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 12133123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235717600).

12133123000 is an abundant number, since it is smaller than the sum of its proper divisors (16338312200).

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

12133123000 is a wasteful number, since it uses less digits than its factorization.

12133123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34177 (or 34163 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12133123000 its reverse (32133121), we get a palindrome (12165256121).

It can be divided in two parts, 1213 and 3123000, that added together give a palindrome (3124213).

The spelling of 12133123000 in words is "twelve billion, one hundred thirty-three million, one hundred twenty-three thousand".