| Base | Representation |
|---|---|
| bin | 10110100110010111… |
| … | …01110111111000000 |
| 3 | 1011022120101102102220 |
| 4 | 23103023232333000 |
| 5 | 144322022100300 |
| 6 | 5323540211040 |
| 7 | 606444553113 |
| oct | 132313567700 |
| 9 | 34276342386 |
| 10 | 12133003200 |
| 11 | 516684497a |
| 12 | 2427399a80 |
| 13 | 11b4892246 |
| 14 | 83156057a |
| 15 | 4b0293da0 |
| hex | 2d32eefc0 |
12133003200 has 336 divisors, whose sum is σ = 41737995264. Its totient is φ = 3081830400.
The previous prime is 12133003189. The next prime is 12133003277. The reversal of 12133003200 is 230033121.
12133003200 is a nontrivial binomial coefficient, being equal to C(155776, 2).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 12133003200.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9968992 + ... + 9970208.
It is an arithmetic number, because the mean of its divisors is an integer number (124220224).
Almost surely, 212133003200 is an apocalyptic number.
12133003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
12133003200 is the 155775-th triangular number and also the 77888-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12133003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20868997632).
12133003200 is an abundant number, since it is smaller than the sum of its proper divisors (29604992064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12133003200 is a wasteful number, since it uses less digits than its factorization.
12133003200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
Adding to 12133003200 its reverse (230033121), we get a palindrome (12363036321).
The spelling of 12133003200 in words is "twelve billion, one hundred thirty-three million, three thousand, two hundred".
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