| Base | Representation |
|---|---|
| bin | 1100010110100011010… |
| … | …1000000001000001000 |
| 3 | 202021202102112202200200 |
| 4 | 3011220311000020020 |
| 5 | 11434102300401440 |
| 6 | 241253334132200 |
| 7 | 21221546163405 |
| oct | 3055065001010 |
| 9 | 667672482620 |
| 10 | 212212122120 |
| 11 | 81aa9235309 |
| 12 | 351654b1060 |
| 13 | 1701c3c373b |
| 14 | a3b1d592ac |
| 15 | 57c0645c30 |
| hex | 3168d40208 |
212212122120 has 384 divisors, whose sum is σ = 719474127840. Its totient is φ = 54201139200.
The previous prime is 212212122091. The next prime is 212212122149. The reversal of 212212122120 is 21221212212.
It is a happy number.
212212122120 is a `hidden beast` number, since 21 + 221 + 212 + 212 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (212212122091) and next prime (212212122149).
It can be written as a sum of positive squares in 16 ways, for example, as 157391519076 + 54820603044 = 396726^2 + 234138^2 .
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 = 212212122093 and 212212122102.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313459222 + ... + 313459898.
Almost surely, 2212212122120 is an apocalyptic number.
212212122120 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 212212122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359737063920).
212212122120 is an abundant number, since it is smaller than the sum of its proper divisors (507262005720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212212122120 is a wasteful number, since it uses less digits than its factorization.
212212122120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1065 (or 1058 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 212212122120 its reverse (21221212212), we get a palindrome (233433334332).
The spelling of 212212122120 in words is "two hundred twelve billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".
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