| Base | Representation |
|---|---|
| bin | 111001010111111111… |
| … | …0101011111111110001 |
| 3 | 102210000211020020202100 |
| 4 | 1302233332223333301 |
| 5 | 4004314122431400 |
| 6 | 132334054411013 |
| 7 | 11621203504200 |
| oct | 1625776537761 |
| 9 | 383024206670 |
| 10 | 123211530225 |
| 11 | 48287773333 |
| 12 | 1ba67360a69 |
| 13 | b807662104 |
| 14 | 5d6ba93237 |
| 15 | 3311dd0100 |
| hex | 1caffabff1 |
123211530225 has 81 divisors (see below), whose sum is σ = 256792648203. Its totient is φ = 56308422240.
The previous prime is 123211530157. The next prime is 123211530227. The reversal of 123211530225 is 522035112321.
The square root of 123211530225 is 351015.
It is a perfect power (a square), and thus also a powerful number.
123211530225 is a `hidden beast` number, since 1 + 2 + 321 + 15 + 302 + 25 = 666.
It can be written as a sum of positive squares in only one way, i.e., 44356150881 + 78855379344 = 210609^2 + 280812^2 .
It is not a de Polignac number, because 123211530225 - 213 = 123211522033 is a prime.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (123211530227) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36854904 + ... + 36858246.
Almost surely, 2123211530225 is an apocalyptic number.
123211530225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
123211530225 is the 351015-th square number.
123211530225 is the 175508-th centered octagonal number.
It is an amenable number.
123211530225 is an abundant number, since it is smaller than the sum of its proper divisors (133581117978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123211530225 is an frugal number, since it uses more digits than its factorization.
123211530225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6716 (or 3358 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
Multiplying 123211530225 by its product of nonzero digits (3600), we get a square (443561508810000 = 210609002).
Adding to 123211530225 its reverse (522035112321), we get a palindrome (645246642546).
The spelling of 123211530225 in words is "one hundred twenty-three billion, two hundred eleven million, five hundred thirty thousand, two hundred twenty-five".
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