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12212000121200 = 24521126991028327
BaseRepresentation
bin1011000110110101001111…
…1011011110000101110000
31121020110022021201002220012
42301231103323132011300
53100040134012334300
641550040532234052
72400200514216425
oct261552373360560
947213267632805
1012212000121200
11398909777a740
12145292616b928
136a7781bb6799
143030c770dd4c
151629deb3b435
hexb1b53ede170

12212000121200 has 120 divisors (see below), whose sum is σ = 32018431939200. Its totient is φ = 4439077676800.

The previous prime is 12212000121199. The next prime is 12212000121259. The reversal of 12212000121200 is 212100021221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11361437 + ... + 12389763.

It is an arithmetic number, because the mean of its divisors is an integer number (266820266160).

Almost surely, 212212000121200 is an apocalyptic number.

12212000121200 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 12212000121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16009215969600).

12212000121200 is an abundant number, since it is smaller than the sum of its proper divisors (19806431818000).

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

12212000121200 is a wasteful number, since it uses less digits than its factorization.

12212000121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031055 (or 1031044 counting only the distinct ones).

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

Adding to 12212000121200 its reverse (212100021221), we get a palindrome (12424100142421).

The spelling of 12212000121200 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2699 4400 5398 10796 13495 21592 26990 29689 43184 53980 59378 67475 107960 118756 134950 148445 215920 237512 269900 296890 475024 539800 593780 742225 1028327 1079600 1187560 1484450 2056654 2375120 2968900 4113308 5141635 5937800 8226616 10283270 11311597 11875600 16453232 20566540 22623194 25708175 41133080 45246388 51416350 56557985 82266160 90492776 102832700 113115970 180985552 205665400 226231940 282789925 411330800 452463880 565579850 904927760 1131159700 2262319400 2775454573 4524638800 5550909146 11101818292 13877272865 22203636584 27754545730 30530000303 44407273168 55509091460 61060000606 69386364325 111018182920 122120001212 138772728650 152650001515 222036365840 244240002424 277545457300 305300003030 488480004848 555090914600 610600006060 763250007575 1110181829200 1221200012120 1526500015150 2442400024240 3053000030300 6106000060600 12212000121200