| Base | Representation |
|---|---|
| bin | 100001011100010… |
| … | …0011100000000000 |
| 3 | 2220012110200122000 |
| 4 | 1002320203200000 |
| 5 | 4244230343403 |
| 6 | 303202544000 |
| 7 | 36543606630 |
| oct | 10270434000 |
| 9 | 2805420560 |
| 10 | 1122121728 |
| 11 | 526454732 |
| 12 | 273968000 |
| 13 | 14b627a70 |
| 14 | a905a6c0 |
| 15 | 687a57a3 |
| hex | 42e23800 |
1122121728 has 384 divisors, whose sum is σ = 4109414400. Its totient is φ = 294617088.
The previous prime is 1122121727. The next prime is 1122121739. The reversal of 1122121728 is 8271212211.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1122121727) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031825 + ... + 5032047.
It is an arithmetic number, because the mean of its divisors is an integer number (10701600).
Almost surely, 21122121728 is an apocalyptic number.
1122121728 is a gapful number since it is divisible by the number (18) 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 1122121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054707200).
1122121728 is an abundant number, since it is smaller than the sum of its proper divisors (2987292672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1122121728 is a wasteful number, since it uses less digits than its factorization.
1122121728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 274 (or 248 counting only the distinct ones).
The product of its digits is 896, while the sum is 27.
The square root of 1122121728 is about 33498.0854378276. The cubic root of 1122121728 is about 1039.1541840924.
Adding to 1122121728 its reverse (8271212211), we get a palindrome (9393333939).
The spelling of 1122121728 in words is "one billion, one hundred twenty-two million, one hundred twenty-one thousand, seven hundred twenty-eight".
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