| Base | Representation |
|---|---|
| bin | 1010001100100100100110… |
| … | …1000111100000101100000 |
| 3 | 1110200202210211202102210110 |
| 4 | 2203021021220330011200 |
| 5 | 2432140313112024300 |
| 6 | 35502150331331320 |
| 7 | 2234655340420503 |
| oct | 243111150740540 |
| 9 | 43622724672713 |
| 10 | 11211100111200 |
| 11 | 3632667815a30 |
| 12 | 13109528b0b40 |
| 13 | 63428231cb62 |
| 14 | 2aa89794713a |
| 15 | 14695e395550 |
| hex | a3249a3c160 |
11211100111200 has 1152 divisors, whose sum is σ = 41404198961664. Its totient is φ = 2611445760000.
The previous prime is 11211100111163. The next prime is 11211100111201. The reversal of 11211100111200 is 211100111211.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11211100111201) 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 191 ways as a sum of consecutive naturals, for example, 31759490224 + ... + 31759490576.
It is an arithmetic number, because the mean of its divisors is an integer number (35941144932).
Almost surely, 211211100111200 is an apocalyptic number.
11211100111200 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 11211100111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20702099480832).
11211100111200 is an abundant number, since it is smaller than the sum of its proper divisors (30193098850464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11211100111200 is a wasteful number, since it uses less digits than its factorization.
11211100111200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 808 (or 795 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 12.
Adding to 11211100111200 its reverse (211100111211), we get a palindrome (11422200222411).
It can be divided in two parts, 1121110011 and 1200, that added together give a palindrome (1121111211).
The spelling of 11211100111200 in words is "eleven trillion, two hundred eleven billion, one hundred million, one hundred eleven thousand, two hundred".
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