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12020110021220 = 22574559144771
BaseRepresentation
bin1010111011101010011001…
…1000110101001001100100
31120120010000010122000210012
42232322212120311021210
53033414141131134340
641321543505345352
72350265350250000
oct256724630651144
946503003560705
1012020110021220
11391477781a454
1214216b2638258
13692650b09422
142d7ac2743700
1515ca0d670565
hexaeea6635264

12020110021220 has 120 divisors (see below), whose sum is σ = 29453442153408. Its totient is φ = 4120351435200.

The previous prime is 12020110021181. The next prime is 12020110021223. The reversal of 12020110021220 is 2212001102021.

12020110021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12020110021195 and 12020110021204.

It is not an unprimeable number, because it can be changed into a prime (12020110021223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 268457435 + ... + 268502205.

Almost surely, 212020110021220 is an apocalyptic number.

12020110021220 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 12020110021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14726721076704).

12020110021220 is an abundant number, since it is smaller than the sum of its proper divisors (17433332132188).

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

12020110021220 is an equidigital number, since it uses as much as digits as its factorization.

12020110021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50399 (or 50376 counting only the distinct ones).

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

Adding to 12020110021220 its reverse (2212001102021), we get a palindrome (14232111123241).

The spelling of 12020110021220 in words is "twelve trillion, twenty billion, one hundred ten million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 5591 6860 9604 11182 12005 22364 24010 27955 39137 44771 48020 55910 78274 89542 111820 156548 179084 195685 223855 273959 313397 391370 447710 547918 626794 782740 895420 1095836 1253588 1369795 1566985 1917713 2193779 2739590 3133970 3835426 4387558 5479180 6267940 7670852 8775116 9588565 10968895 13423991 15356453 19177130 21937790 26847982 30712906 38354260 43875580 53695964 61425812 67119955 76782265 107495171 134239910 153564530 214990342 250314661 268479820 307129060 429980684 500629322 537475855 1001258644 1074951710 1251573305 1752202627 2149903420 2503146610 3504405254 5006293220 7008810508 8761013135 12265418389 17522026270 24530836778 35044052540 49061673556 61327091945 85857928723 122654183890 171715857446 245308367780 343431714892 429289643615 601005501061 858579287230 1202011002122 1717158574460 2404022004244 3005027505305 6010055010610 12020110021220