| Base | Representation |
|---|---|
| bin | 1100010111010111010… |
| … | …0111010000100100000 |
| 3 | 202022022121220022211200 |
| 4 | 3011311310322010200 |
| 5 | 11440024112413440 |
| 6 | 241331124241200 |
| 7 | 21230134626264 |
| oct | 3056564720440 |
| 9 | 668277808750 |
| 10 | 212430201120 |
| 11 | 82100346295 |
| 12 | 35206540200 |
| 13 | 1705563a977 |
| 14 | a3d2cc60a4 |
| 15 | 57d4871c30 |
| hex | 3175d3a120 |
212430201120 has 144 divisors (see below), whose sum is σ = 728924027832. Its totient is φ = 56335011840.
The previous prime is 212430201103. The next prime is 212430201127. The reversal of 212430201120 is 21102034212.
It is a happy number.
212430201120 is a `hidden beast` number, since 2 + 12 + 430 + 201 + 1 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 140544011664 + 71886189456 = 374892^2 + 268116^2 .
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 = 212430201093 and 212430201102.
It is not an unprimeable number, because it can be changed into a prime (212430201127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146877 + ... + 668156.
Almost surely, 2212430201120 is an apocalyptic number.
212430201120 is a gapful number since it is divisible by the number (20) 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 212430201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364462013916).
212430201120 is an abundant number, since it is smaller than the sum of its proper divisors (516493826712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212430201120 is a wasteful number, since it uses less digits than its factorization.
212430201120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 815235 (or 815224 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 212430201120 its reverse (21102034212), we get a palindrome (233532235332).
The spelling of 212430201120 in words is "two hundred twelve billion, four hundred thirty million, two hundred one thousand, one hundred twenty".
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