| Base | Representation |
|---|---|
| bin | 1001001100100000111011… |
| … | …00000010010000000100000 |
| 3 | 2122121010110021020011110221 |
| 4 | 10212100131200102000200 |
| 5 | 10122301004430444300 |
| 6 | 111001254055532424 |
| 7 | 4154635132534321 |
| oct | 446203540220040 |
| 9 | 78533407204427 |
| 10 | 20221201031200 |
| 11 | 64968438a8824 |
| 12 | 232700738a114 |
| 13 | b38b0aa73490 |
| 14 | 4dc9d5d42448 |
| 15 | 250eee71731a |
| hex | 12641d812020 |
20221201031200 has 288 divisors, whose sum is σ = 56846882347920. Its totient is φ = 6957514752000.
The previous prime is 20221201031173. The next prime is 20221201031203. The reversal of 20221201031200 is 213010212202.
It is a happy number.
It can be written as a sum of positive squares in 24 ways, for example, as 1095028302096 + 19126172729104 = 1046436^2 + 4373348^2 .
It is a super-2 number, since 2×202212010312002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (20221201031203) 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 47 ways as a sum of consecutive naturals, for example, 17290596 + ... + 18423004.
Almost surely, 220221201031200 is an apocalyptic number.
20221201031200 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 20221201031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28423441173960).
20221201031200 is an abundant number, since it is smaller than the sum of its proper divisors (36625681316720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20221201031200 is a wasteful number, since it uses less digits than its factorization.
20221201031200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1132560 (or 1132547 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
Adding to 20221201031200 its reverse (213010212202), we get a palindrome (20434211243402).
The spelling of 20221201031200 in words is "twenty trillion, two hundred twenty-one billion, two hundred one million, thirty-one thousand, two hundred".
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