| Base | Representation |
|---|---|
| bin | 10110110000110111… |
| … | …11010100111000000 |
| 3 | 1011112201012210022220 |
| 4 | 23120123322213000 |
| 5 | 200012102144300 |
| 6 | 5340405131040 |
| 7 | 611564621055 |
| oct | 133033724700 |
| 9 | 34481183286 |
| 10 | 12221131200 |
| 11 | 5201567833 |
| 12 | 24509b9a80 |
| 13 | 11c9c0a0a5 |
| 14 | 83d14102c |
| 15 | 4b7da0da0 |
| hex | 2d86fa9c0 |
12221131200 has 168 divisors, whose sum is σ = 40353368112. Its totient is φ = 3238010880.
The previous prime is 12221131159. The next prime is 12221131201. The reversal of 12221131200 is 213112221.
12221131200 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 2×122211312002 (a number of 21 digits) contains 22 as substring.
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 12221131200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12221131201) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 745492 + ... + 761708.
Almost surely, 212221131200 is an apocalyptic number.
12221131200 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 12221131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20176684056).
12221131200 is an abundant number, since it is smaller than the sum of its proper divisors (28132236912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12221131200 is a wasteful number, since it uses less digits than its factorization.
12221131200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16399 (or 16384 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
Adding to 12221131200 its reverse (213112221), we get a palindrome (12434243421).
The spelling of 12221131200 in words is "twelve billion, two hundred twenty-one million, one hundred thirty-one thousand, two hundred".
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