| Base | Representation |
|---|---|
| bin | 110000001101000001011011… |
| … | …100001011011101000000000 |
| 3 | 1000210122002221122111002121000 |
| 4 | 300031001123201123220000 |
| 5 | 210241411244013033440 |
| 6 | 2030515545351132000 |
| 7 | 62440401262466340 |
| oct | 6015013341335000 |
| 9 | 1023562848432530 |
| 10 | 212001121221120 |
| 11 | 61606197087180 |
| 12 | 1b93b2a2674000 |
| 13 | 913a80a04c5ca |
| 14 | 3a4cca24a6d20 |
| 15 | 1979980638730 |
| hex | c0d05b85ba00 |
212001121221120 has 2560 divisors, whose sum is σ = 991367805542400. Its totient is φ = 41603117875200.
The previous prime is 212001121221103. The next prime is 212001121221121. The reversal of 212001121221120 is 21122121100212.
212001121221120 is a `hidden beast` number, since 2 + 1 + 200 + 1 + 121 + 221 + 120 = 666.
It is a tau number, because it is divible by the number of its divisors (2560).
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 = 212001121221093 and 212001121221102.
It is not an unprimeable number, because it can be changed into a prime (212001121221121) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34078299610 + ... + 34078305830.
It is an arithmetic number, because the mean of its divisors is an integer number (387253049040).
Almost surely, 2212001121221120 is an apocalyptic number.
212001121221120 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 212001121221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495683902771200).
212001121221120 is an abundant number, since it is smaller than the sum of its proper divisors (779366684321280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212001121221120 is a wasteful number, since it uses less digits than its factorization.
212001121221120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6627 (or 6605 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 212001121221120 its reverse (21122121100212), we get a palindrome (233123242321332).
The spelling of 212001121221120 in words is "two hundred twelve trillion, one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".
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