| Base | Representation |
|---|---|
| bin | 111011100111100… |
| … | …000011010011000 |
| 3 | 2120201002001002100 |
| 4 | 323213200122120 |
| 5 | 4022023241440 |
| 6 | 243130003400 |
| 7 | 33533443215 |
| oct | 7347403230 |
| 9 | 2521061070 |
| 10 | 1000212120 |
| 11 | 473659196 |
| 12 | 23ab76560 |
| 13 | 12c2b28bb |
| 14 | 96ba4b0c |
| 15 | 5cc24230 |
| hex | 3b9e0698 |
1000212120 has 192 divisors, whose sum is σ = 3396032640. Its totient is φ = 255052800.
The previous prime is 1000212107. The next prime is 1000212133. The reversal of 1000212120 is 212120001.
1000212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1000212107) and next prime (1000212133).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811905 + ... + 813135.
It is an arithmetic number, because the mean of its divisors is an integer number (17687670).
Almost surely, 21000212120 is an apocalyptic number.
1000212120 is a gapful number since it is divisible by the number (10) 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 1000212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698016320).
1000212120 is an abundant number, since it is smaller than the sum of its proper divisors (2395820520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000212120 is a wasteful number, since it uses less digits than its factorization.
1000212120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1346 (or 1339 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1000212120 is about 31626.1303355311. The cubic root of 1000212120 is about 1000.0707016678.
Adding to 1000212120 its reverse (212120001), we get a palindrome (1212332121).
It can be divided in two parts, 10002 and 12120, that added together give a palindrome (22122).
The spelling of 1000212120 in words is "one billion, two hundred twelve thousand, one hundred twenty".
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