| Base | Representation |
|---|---|
| bin | 1101010111011… |
| … | …01100010010000 |
| 3 | 21210222101110200 |
| 4 | 12223231202100 |
| 5 | 212200401000 |
| 6 | 15043055200 |
| 7 | 2531010204 |
| oct | 653554220 |
| 9 | 253871420 |
| 10 | 112122000 |
| 11 | 58320a11 |
| 12 | 31671500 |
| 13 | 1a2c91a3 |
| 14 | 10c68b04 |
| 15 | 9c9b500 |
| hex | 6aed890 |
112122000 has 120 divisors (see below), whose sum is σ = 391667640. Its totient is φ = 29894400.
The previous prime is 112121981. The next prime is 112122001. The reversal of 112122000 is 221211.
It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 107246736 = 2208^2 + 10356^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (112122001) by changing a digit.
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, 14886 + ... + 21114.
It is an arithmetic number, because the mean of its divisors is an integer number (3263897).
Almost surely, 2112122000 is an apocalyptic number.
112122000 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 112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195833820).
112122000 is an abundant number, since it is smaller than the sum of its proper divisors (279545640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112122000 is a wasteful number, since it uses less digits than its factorization.
112122000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6258 (or 6239 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 112122000 is about 10588.7676336767. The cubic root of 112122000 is about 482.2034115596.
Adding to 112122000 its reverse (221211), we get a palindrome (112343211).
The spelling of 112122000 in words is "one hundred twelve million, one hundred twenty-two thousand".
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