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10212001212 = 2237219248109
BaseRepresentation
bin10011000001010111…
…01100010110111100
3222100200200102010010
421200223230112330
5131403233014322
64405154343220
7511030402200
oct114053542674
928320612103
1010212001212
114370454726
121b8bb8ab10
13c698b718a
146cc38ab00
153eb7d820c
hex260aec5bc

10212001212 has 108 divisors (see below), whose sum is σ = 29254536360. Its totient is φ = 2764093248.

The previous prime is 10212001169. The next prime is 10212001237. The reversal of 10212001212 is 21210021201.

10212001212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 188214 + ... + 236322.

Almost surely, 210212001212 is an apocalyptic number.

10212001212 is a gapful number since it is divisible by the number (12) 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 10212001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627268180).

10212001212 is an abundant number, since it is smaller than the sum of its proper divisors (19042535148).

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

10212001212 is a wasteful number, since it uses less digits than its factorization.

10212001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48168 (or 48140 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212001212 its reverse (21210021201), we get a palindrome (31422022413).

The spelling of 10212001212 in words is "ten billion, two hundred twelve million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 361 399 532 588 722 798 931 1083 1444 1596 1862 2166 2527 2793 3724 4332 5054 5586 7581 10108 11172 15162 17689 30324 35378 48109 53067 70756 96218 106134 144327 192436 212268 288654 336763 577308 673526 914071 1010289 1347052 1828142 2020578 2357341 2742213 3656284 4041156 4714682 5484426 6398497 7072023 9429364 10968852 12796994 14144046 17367349 19195491 25593988 28288092 34734698 38390982 44789479 52102047 69469396 76781964 89578958 104204094 121571443 134368437 179157916 208408188 243142886 268736874 364714329 486285772 537473748 729428658 851000101 1458857316 1702000202 2553000303 3404000404 5106000606 10212001212