| Base | Representation |
|---|---|
| bin | 100100010110111… |
| … | …1011100101110000 |
| 3 | 10011000122102112100 |
| 4 | 1020231323211300 |
| 5 | 4444310000422 |
| 6 | 321020500400 |
| 7 | 42142554432 |
| oct | 11055734560 |
| 9 | 3130572470 |
| 10 | 1220000112 |
| 11 | 576727161 |
| 12 | 2a06aa700 |
| 13 | 1659a7976 |
| 14 | b8058652 |
| 15 | 7218b7ac |
| hex | 48b7b970 |
1220000112 has 120 divisors (see below), whose sum is σ = 3566936880. Its totient is φ = 388869120.
The previous prime is 1220000107. The next prime is 1220000113. The reversal of 1220000112 is 2110000221.
1220000112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1220000094 and 1220000103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1220000113) 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, 312412 + ... + 316292.
It is an arithmetic number, because the mean of its divisors is an integer number (29724474).
Almost surely, 21220000112 is an apocalyptic number.
1220000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is a pronic number, being equal to 34928×34929.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1220000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783468440).
1220000112 is an abundant number, since it is smaller than the sum of its proper divisors (2346936768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1220000112 is a wasteful number, since it uses less digits than its factorization.
1220000112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3991 (or 3982 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1220000112 is about 34928.4999964213. The cubic root of 1220000112 is about 1068.5297628471.
Adding to 1220000112 its reverse (2110000221), we get a palindrome (3330000333).
The spelling of 1220000112 in words is "one billion, two hundred twenty million, one hundred twelve", and thus it is an aban number.
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