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212120131212 = 223411421914107
BaseRepresentation
bin1100010110001101011…
…0000101011010001100
3202021112000110010220000
43011203112011122030
511433410223144322
6241240250324300
721216351236343
oct3054326053214
9667460403800
10212120131212
1181a61314170
123513a729690
1317006325552
14a3a3a50b5a
1557b75243ac
hex316358568c

212120131212 has 120 divisors (see below), whose sum is σ = 605121464640. Its totient is φ = 64259036640.

The previous prime is 212120131121. The next prime is 212120131247. The reversal of 212120131212 is 212131021212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15029463 + ... + 15043569.

It is an arithmetic number, because the mean of its divisors is an integer number (5042678872).

Almost surely, 2212120131212 is an apocalyptic number.

212120131212 is a gapful number since it is divisible by the number (22) 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 212120131212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302560732320).

212120131212 is an abundant number, since it is smaller than the sum of its proper divisors (393001333428).

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

212120131212 is a wasteful number, since it uses less digits than its factorization.

212120131212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18353 (or 18342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212120131212 its reverse (212131021212), we get a palindrome (424251152424).

Subtracting 212120131212 from its reverse (212131021212), we obtain a square (10890000 = 33002).

The spelling of 212120131212 in words is "two hundred twelve billion, one hundred twenty million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 4219 8438 12657 14107 16876 25314 28214 37971 42321 46409 50628 56428 75942 84642 92818 113913 126963 139227 151884 155177 169284 185636 227826 253926 278454 310354 341739 380889 417681 455652 465531 507852 556908 620708 683478 761778 835362 931062 1142667 1253043 1366956 1396593 1523556 1670724 1862124 2285334 2506086 2793186 3759129 4189779 4570668 5012172 5586372 7518258 8379558 12569337 15036516 16759116 25138674 50277348 59517433 119034866 178552299 238069732 357104598 535656897 654691763 714209196 1071313794 1309383526 1606970691 1964075289 2142627588 2618767052 3213941382 3928150578 4820912073 5892225867 6427882764 7856301156 9641824146 11784451734 17676677601 19283648292 23568903468 35353355202 53030032803 70706710404 106060065606 212120131212