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12011201032220 = 22513192494325889
BaseRepresentation
bin1010111011001001001101…
…0111101111000000011100
31120112021000020210111101122
42232302103113233000130
53033242414431012340
641313511455030112
72346531521142065
oct256622327570034
946467006714348
1012011201032220
113910a15940125
12141ba26b0b338
136918611732c0
142d74b945d56c
1515c68b46edb5
hexaec935ef01c

12011201032220 has 144 divisors (see below), whose sum is σ = 28675619844480. Its totient is φ = 4200476700672.

The previous prime is 12011201032211. The next prime is 12011201032223. The reversal of 12011201032220 is 2223010211021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011201032223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463937036 + ... + 463962924.

It is an arithmetic number, because the mean of its divisors is an integer number (199136248920).

Almost surely, 212011201032220 is an apocalyptic number.

12011201032220 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 12011201032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337809922240).

12011201032220 is an abundant number, since it is smaller than the sum of its proper divisors (16664418812260).

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

12011201032220 is a wasteful number, since it uses less digits than its factorization.

12011201032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30892 (or 30871 counting only the distinct ones).

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

Adding to 12011201032220 its reverse (2223010211021), we get a palindrome (14234211243241).

The spelling of 12011201032220 in words is "twelve trillion, eleven billion, two hundred one million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1444 1805 2470 3610 4693 4940 4943 7220 9386 9886 18772 19772 23465 24715 25889 46930 49430 51778 64259 93860 93917 98860 103556 128518 129445 187834 257036 258890 321295 336557 375668 469585 491891 517780 642590 673114 939170 983782 1220921 1285180 1346228 1682785 1784423 1878340 1967564 2441842 2459455 3365570 3568846 4883684 4918910 6104605 6394583 6731140 7137692 8922115 9345929 9837820 12209210 12789166 17844230 18691858 23197499 24418420 25578332 31972915 35688460 37383716 46394998 46729645 63945830 92789996 93459290 115987495 121497077 127891660 127969327 186918580 231974990 242994154 255938654 463949980 485988308 511877308 607485385 639846635 1214970770 1279693270 1663601251 2429941540 2431417213 2559386540 3327202502 4862834426 6654405004 8318006255 9725668852 12157086065 16636012510 24314172130 31608423769 33272025020 46196927047 48628344260 63216847538 92393854094 126433695076 158042118845 184787708188 230984635235 316084237690 461969270470 600560051611 632168475380 923938540940 1201120103222 2402240206444 3002800258055 6005600516110 12011201032220