| Base | Representation |
|---|---|
| bin | 110000011110110001101001… |
| … | …000111110111010110000000 |
| 3 | 1000221221201222110122010101200 |
| 4 | 300132301221013313112000 |
| 5 | 210421403323222041000 |
| 6 | 2033252232541301200 |
| 7 | 62624501061116610 |
| oct | 6036615107672600 |
| 9 | 1027851873563350 |
| 10 | 213221120112000 |
| 11 | 61a36629704a60 |
| 12 | 1bab7821864800 |
| 13 | 91c8885a14150 |
| 14 | 3a91d58aa8a40 |
| 15 | 199b585e21500 |
| hex | c1ec691f7580 |
213221120112000 has 3072 divisors, whose sum is σ = 1055926735718400. Its totient is φ = 39791222784000.
The previous prime is 213221120111981. The next prime is 213221120112001. The reversal of 213221120112000 is 211021122312.
213221120112000 is a `hidden beast` number, since 2 + 132 + 211 + 201 + 120 + 0 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213221120112001) 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 383 ways as a sum of consecutive naturals, for example, 5333308011 + ... + 5333347989.
It is an arithmetic number, because the mean of its divisors is an integer number (343726150950).
Almost surely, 2213221120112000 is an apocalyptic number.
213221120112000 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 213221120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527963367859200).
213221120112000 is an abundant number, since it is smaller than the sum of its proper divisors (842705615606400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213221120112000 is a wasteful number, since it uses less digits than its factorization.
213221120112000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40082 (or 40057 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 213221120112000 its reverse (211021122312), we get a palindrome (213432141234312).
The spelling of 213221120112000 in words is "two hundred thirteen trillion, two hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand".
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