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121312221200 = 24522326949019
BaseRepresentation
bin111000011111011000…
…1011001100000010000
3102121010110100100120122
41300332301121200100
53441421412034300
6131421405525412
711523141603122
oct1607661314020
9377113310518
10121312221200
11474a264a355
121b617273868
13b594010c11
145c2b729212
1532502abc85
hex1c3ec59810

121312221200 has 120 divisors (see below), whose sum is σ = 305261265600. Its totient is φ = 46241620480.

The previous prime is 121312221181. The next prime is 121312221203. The reversal of 121312221200 is 2122213121.

It is not an unprimeable number, because it can be changed into a prime (121312221203) 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, 2450291 + ... + 2499309.

It is an arithmetic number, because the mean of its divisors is an integer number (2543843880).

Almost surely, 2121312221200 is an apocalyptic number.

121312221200 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 121312221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152630632800).

121312221200 is an abundant number, since it is smaller than the sum of its proper divisors (183949044400).

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

121312221200 is a wasteful number, since it uses less digits than its factorization.

121312221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49329 (or 49318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 121312221200 its reverse (2122213121), we get a palindrome (123434434321).

The spelling of 121312221200 in words is "one hundred twenty-one billion, three hundred twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 269 368 400 460 538 575 920 1076 1150 1345 1840 2152 2300 2690 4304 4600 5380 6187 6725 9200 10760 12374 13450 21520 24748 26900 30935 49019 49496 53800 61870 98038 98992 107600 123740 154675 196076 245095 247480 309350 392152 490190 494960 618700 784304 980380 1127437 1225475 1237400 1960760 2254874 2450950 2474800 3921520 4509748 4901900 5637185 9019496 9803800 11274370 13186111 18038992 19607600 22548740 26372222 28185925 45097480 52744444 56371850 65930555 90194960 105488888 112743700 131861110 210977776 225487400 263722220 303280553 329652775 450974800 527444440 606561106 659305550 1054888880 1213122212 1318611100 1516402765 2426244424 2637222200 3032805530 4852488848 5274444400 6065611060 7582013825 12131222120 15164027650 24262444240 30328055300 60656110600 121312221200