| Base | Representation |
|---|---|
| bin | 100001011100110… |
| … | …1010011100100000 |
| 3 | 2220020000110020200 |
| 4 | 1002321222130200 |
| 5 | 4244314143240 |
| 6 | 303213105200 |
| 7 | 36546230061 |
| oct | 10271523440 |
| 9 | 2806013220 |
| 10 | 1122412320 |
| 11 | 526632a97 |
| 12 | 273a88200 |
| 13 | 14b6ca103 |
| 14 | a90d4568 |
| 15 | 68811930 |
| hex | 42e6a720 |
1122412320 has 144 divisors (see below), whose sum is σ = 3876792192. Its totient is φ = 295672320.
The previous prime is 1122412241. The next prime is 1122412331. The reversal of 1122412320 is 232142211.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1122412293 and 1122412302.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114825 + ... + 124215.
It is an arithmetic number, because the mean of its divisors is an integer number (26922168).
Almost surely, 21122412320 is an apocalyptic number.
1122412320 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 1122412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938396096).
1122412320 is an abundant number, since it is smaller than the sum of its proper divisors (2754379872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1122412320 is a wasteful number, since it uses less digits than its factorization.
1122412320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9495 (or 9484 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 1122412320 is about 33502.4225989704. The cubic root of 1122412320 is about 1039.2438784105.
Adding to 1122412320 its reverse (232142211), we get a palindrome (1354554531).
The spelling of 1122412320 in words is "one billion, one hundred twenty-two million, four hundred twelve thousand, three hundred twenty".
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