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12201212122000 = 2453114191323629
BaseRepresentation
bin1011000110001101000011…
…1010100001001110010000
31121012102110110011222002021
42301203100322201032100
53044401040300401000
641541054240101224
72366336260562626
oct261432072411620
947172413158067
1012201212122000
113984561181220
121450815304814
136a6752b888c5
14302782a67516
151625ac9c711a
hexb18d0ea1390

12201212122000 has 160 divisors (see below), whose sum is σ = 32261416387200. Its totient is φ = 4426212032000.

The previous prime is 12201212121997. The next prime is 12201212122003. The reversal of 12201212122000 is 22121210221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12201212121997) and next prime (12201212122003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12201212122003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8556186 + ... + 9879814.

It is an arithmetic number, because the mean of its divisors is an integer number (201633852420).

Almost surely, 212201212122000 is an apocalyptic number.

12201212122000 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 12201212122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130708193600).

12201212122000 is an abundant number, since it is smaller than the sum of its proper divisors (20060204265200).

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

12201212122000 is a wasteful number, since it uses less digits than its factorization.

12201212122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324082 (or 1324066 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12201212122000 its reverse (22121210221), we get a palindrome (12223333332221).

The spelling of 12201212122000 in words is "twelve trillion, two hundred one billion, two hundred twelve million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 419 440 500 550 838 880 1000 1100 1375 1676 2000 2095 2200 2750 3352 4190 4400 4609 5500 6704 8380 9218 10475 11000 16760 18436 20950 22000 23045 33520 36872 41900 46090 52375 73744 83800 92180 104750 115225 167600 184360 209500 230450 368720 419000 460900 576125 838000 921800 1152250 1323629 1843600 2304500 2647258 4609000 5294516 6618145 9218000 10589032 13236290 14559919 21178064 26472580 29119838 33090725 52945160 58239676 66181450 72799595 105890320 116479352 132362900 145599190 165453625 232958704 264725800 291198380 330907250 363997975 529451600 554600551 582396760 661814500 727995950 1109201102 1164793520 1323629000 1455991900 1819989875 2218402204 2647258000 2773002755 2911983800 3639979750 4436804408 5546005510 5823967600 6100606061 7279959500 8873608816 11092011020 12201212122 13865013775 14559919000 22184022040 24402424244 27730027550 29119838000 30503030305 44368044080 48804848488 55460055100 61006060610 69325068875 97609696976 110920110200 122012121220 138650137750 152515151525 221840220400 244024242440 277300275500 305030303050 488048484880 554600551000 610060606100 762575757625 1109201102000 1220121212200 1525151515250 2440242424400 3050303030500 6100606061000 12201212122000