| Base | Representation |
|---|---|
| bin | 100001011100010… |
| … | …0011000110100100 |
| 3 | 2220012110121101201 |
| 4 | 1002320203012210 |
| 5 | 4244230320400 |
| 6 | 303202532244 |
| 7 | 36543602113 |
| oct | 10270430644 |
| 9 | 2805417351 |
| 10 | 1122120100 |
| 11 | 526453492 |
| 12 | 273967084 |
| 13 | 14b6270ba |
| 14 | a9059c7a |
| 15 | 687a506a |
| hex | 42e231a4 |
1122120100 has 72 divisors (see below), whose sum is σ = 2474669736. Its totient is φ = 441600000.
The previous prime is 1122120089. The next prime is 1122120101. The reversal of 1122120100 is 10212211.
It can be written as a sum of positive squares in 12 ways, for example, as 44836416 + 1077283684 = 6696^2 + 32822^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (1122120101) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2433870 + ... + 2434330.
It is an arithmetic number, because the mean of its divisors is an integer number (34370413).
Almost surely, 21122120100 is an apocalyptic number.
1122120100 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 1122120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237334868).
1122120100 is an abundant number, since it is smaller than the sum of its proper divisors (1352549636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1122120100 is a wasteful number, since it uses less digits than its factorization.
1122120100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 817 (or 810 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
The square root of 1122120100 is about 33498.0611379226. The cubic root of 1122120100 is about 1039.1536815492.
Adding to 1122120100 its reverse (10212211), we get a palindrome (1132332311).
It can be divided in two parts, 112 and 2120100, that added together give a palindrome (2120212).
The spelling of 1122120100 in words is "one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".
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