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12221221112200 = 2352195417593707
BaseRepresentation
bin1011000111010111100110…
…0010110000100110001000
31121021100002220121222120101
42301311321202300212020
53100213030101042300
641554203530135144
72400645152312212
oct261657142604610
947240086558511
1012221221112200
113991a99790761
12145467a2814b4
136a85c1390589
1430372020d5b2
15162d7e41bb6a
hexb1d798b0988

12221221112200 has 96 divisors (see below), whose sum is σ = 29915402479200. Its totient is φ = 4630336842240.

The previous prime is 12221221112183. The next prime is 12221221112207. The reversal of 12221221112200 is 221112212221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (12221221112207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20287747 + ... + 20881453.

It is an arithmetic number, because the mean of its divisors is an integer number (311618775825).

Almost surely, 212221221112200 is an apocalyptic number.

12221221112200 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 12221221112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957701239600).

12221221112200 is an abundant number, since it is smaller than the sum of its proper divisors (17694181367000).

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

12221221112200 is a wasteful number, since it uses less digits than its factorization.

12221221112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599159 (or 599150 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12221221112200 its reverse (221112212221), we get a palindrome (12442333324421).

The spelling of 12221221112200 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 5417 10834 21668 27085 43336 54170 102923 108340 135425 205846 216680 270850 411692 514615 541700 593707 823384 1029230 1083400 1187414 2058460 2374828 2573075 2968535 4116920 4749656 5146150 5937070 10292300 11280433 11874140 14842675 20584600 22560866 23748280 29685350 45121732 56402165 59370700 90243464 112804330 118741400 225608660 282010825 451217320 564021650 1128043300 2256086600 3216110819 6432221638 12864443276 16080554095 25728886552 32161108190 61106105561 64322216380 80402770475 122212211122 128644432760 160805540950 244424422244 305530527805 321611081900 488848844488 611061055610 643222163800 1222122111220 1527652639025 2444244222440 3055305278050 6110610556100 12221221112200