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12200101212 = 22313231434513
BaseRepresentation
bin10110101110010111…
…01100010101011100
31011111020122100121110
423113023230111130
5144441211214322
65334334302020
7611221102125
oct132713542534
934436570543
1012200101212
1151a0703682
122445957910
1311c5755c00
1483a42904c
154b60e9c0c
hex2d72ec55c

12200101212 has 144 divisors (see below), whose sum is σ = 32566668288. Its totient is φ = 3547514880.

The previous prime is 12200101189. The next prime is 12200101283. The reversal of 12200101212 is 21210100221.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2701068 + ... + 2705580.

Almost surely, 212200101212 is an apocalyptic number.

12200101212 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 12200101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283334144).

12200101212 is an abundant number, since it is smaller than the sum of its proper divisors (20366567076).

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

12200101212 is a wasteful number, since it uses less digits than its factorization.

12200101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4605 counting only the distinct ones).

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

Adding to 12200101212 its reverse (21210100221), we get a palindrome (33410201433).

Subtracting 12200101212 from its reverse (21210100221), we obtain a palindrome (9009999009).

The spelling of 12200101212 in words is "twelve billion, two hundred million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 43 52 62 78 86 93 124 129 156 169 172 186 258 338 372 403 507 516 559 676 806 1014 1118 1209 1333 1612 1677 2028 2236 2418 2666 3354 3999 4513 4836 5239 5332 6708 7267 7998 9026 10478 13539 14534 15717 15996 17329 18052 20956 21801 27078 29068 31434 34658 43602 51987 54156 58669 62868 69316 87204 103974 117338 139903 176007 194059 207948 225277 234676 279806 352014 388118 419709 450554 559612 582177 675831 704028 762697 776236 839418 901108 1164354 1351662 1525394 1678836 1818739 2288091 2328708 2522767 2703324 3050788 3637478 4576182 5045534 5456217 6015829 7274956 7568301 9152364 10091068 10912434 12031658 15136602 18047487 21824868 23643607 24063316 30273204 32795971 36094974 47287214 65591942 70930821 72189948 78205777 94574428 98387913 131183884 141861642 156411554 196775826 234617331 283723284 312823108 393551652 469234662 938469324 1016675101 2033350202 3050025303 4066700404 6100050606 12200101212