| Base | Representation |
|---|---|
| bin | 110000000000000101010111… |
| … | …111001100111010001000000 |
| 3 | 1000200111002222102020002021200 |
| 4 | 300000011113321213101000 |
| 5 | 210132324340032033440 |
| 6 | 2024555303121221200 |
| 7 | 62316224134624020 |
| oct | 6000052771472100 |
| 9 | 1020432872202250 |
| 10 | 211112002221120 |
| 11 | 612a3108636770 |
| 12 | 1b816b06491800 |
| 13 | 90a4a12954150 |
| 14 | 3a1bc38255a80 |
| 15 | 19617934e1c30 |
| hex | c00157e67440 |
211112002221120 has 1344 divisors, whose sum is σ = 1001304213751296. Its totient is φ = 39398585794560.
The previous prime is 211112002221097. The next prime is 211112002221139. The reversal of 211112002221120 is 21122200211112.
211112002221120 is a `hidden beast` number, since 21 + 111 + 200 + 222 + 112 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
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 = 211112002221093 and 211112002221102.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105676972 + ... + 107656148.
It is an arithmetic number, because the mean of its divisors is an integer number (745018016184).
Almost surely, 2211112002221120 is an apocalyptic number.
211112002221120 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 211112002221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500652106875648).
211112002221120 is an abundant number, since it is smaller than the sum of its proper divisors (790192211530176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211112002221120 is a wasteful number, since it uses less digits than its factorization.
211112002221120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1979268 (or 1979255 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 211112002221120 its reverse (21122200211112), we get a palindrome (232234202432232).
The spelling of 211112002221120 in words is "two hundred eleven trillion, one hundred twelve billion, two million, two hundred twenty-one thousand, one hundred twenty".
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