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210212012000120 = 235132291765300739
BaseRepresentation
bin101111110010111111001100…
…010011011000001101111000
31000120022001221112211211022112
4233302333030103120031320
5210023103200033000440
62023030022023311452
762164213423152464
oct5762771423301570
91016261845754275
10210212012000120
1160a86460615a99
121b6b05b55ab588
13903aba5210140
1439ca45c2974a4
15194816bc97965
hexbf2fcc4d8378

210212012000120 has 64 divisors (see below), whose sum is σ = 511584154452000. Its totient is φ = 77277805106688.

The previous prime is 210212012000083. The next prime is 210212012000147. The reversal of 210212012000120 is 21000210212012.

It is a junction number, because it is equal to n+sod(n) for n = 210212012000095 and 210212012000104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882531290 + ... + 882769449.

Almost surely, 2210212012000120 is an apocalyptic number.

210212012000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210212012000120 is an abundant number, since it is smaller than the sum of its proper divisors (301372142451880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210212012000120 is a wasteful number, since it uses less digits than its factorization.

210212012000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765300992 (or 1765300988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210212012000120 its reverse (21000210212012), we get a palindrome (231212222212132).

The spelling of 210212012000120 in words is "two hundred ten trillion, two hundred twelve billion, twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 229 260 458 520 916 1145 1832 2290 2977 4580 5954 9160 11908 14885 23816 29770 59540 119080 1765300739 3530601478 7061202956 8826503695 14122405912 17653007390 22948909607 35306014780 45897819214 70612029560 91795638428 114744548035 183591276856 229489096070 404253869231 458978192140 808507738462 917956384280 1617015476924 2021269346155 3234030953848 4042538692310 5255300300003 8085077384620 10510600600006 16170154769240 21021201200012 26276501500015 42042402400024 52553003000030 105106006000060 210212012000120