| Base | Representation |
|---|---|
| bin | 1011000001100110110010… |
| … | …0111110111111001010000 |
| 3 | 1120220212120100202112121021 |
| 4 | 2300121230213313321100 |
| 5 | 3042102301321214300 |
| 6 | 41440512051005224 |
| 7 | 2360541625514116 |
| oct | 260315447677120 |
| 9 | 46825510675537 |
| 10 | 12122220101200 |
| 11 | 3954006248900 |
| 12 | 143944ab99814 |
| 13 | 69c174825ab1 |
| 14 | 2dca0bb15ab6 |
| 15 | 1604d7c63d1a |
| hex | b066c9f7e50 |
12122220101200 has 360 divisors, whose sum is σ = 32458034662200. Its totient is φ = 4347002880000.
The previous prime is 12122220101143. The next prime is 12122220101207. The reversal of 12122220101200 is 210102222121.
It is a happy number.
It can be written as a sum of positive squares in 12 ways, for example, as 228246973504 + 11893973127696 = 477752^2 + 3448764^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12122220101207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1256313976 + ... + 1256323624.
It is an arithmetic number, because the mean of its divisors is an integer number (90161207395).
Almost surely, 212122220101200 is an apocalyptic number.
12122220101200 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 12122220101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16229017331100).
12122220101200 is an abundant number, since it is smaller than the sum of its proper divisors (20335814561000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12122220101200 is a wasteful number, since it uses less digits than its factorization.
12122220101200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10047 (or 10025 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 12122220101200 its reverse (210102222121), we get a palindrome (12332322323321).
The spelling of 12122220101200 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty million, one hundred one thousand, two hundred".
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