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12211032102220 = 22572397138122727
BaseRepresentation
bin1011000110110001101000…
…1110110001010101001100
31121020100210211012122111101
42301230122032301111030
53100031143204232340
641545400512232444
72400134521204600
oct261543216612514
947210724178441
1012211032102220
11398874030a756
1214526b5b3b724
136a76594961a3
14303034d29500
15162984b75c9a
hexb1b1a3b154c

12211032102220 has 144 divisors (see below), whose sum is σ = 29927916389952. Its totient is φ = 4172886305280.

The previous prime is 12211032102197. The next prime is 12211032102229. The reversal of 12211032102220 is 2220123011221.

It is not an unprimeable number, because it can be changed into a prime (12211032102229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537280497 + ... + 537303223.

It is an arithmetic number, because the mean of its divisors is an integer number (207832752708).

Almost surely, 212211032102220 is an apocalyptic number.

12211032102220 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 12211032102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14963958194976).

12211032102220 is an abundant number, since it is smaller than the sum of its proper divisors (17716884287732).

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

12211032102220 is a wasteful number, since it uses less digits than its factorization.

12211032102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24528 (or 24519 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12211032102220 its reverse (2220123011221), we get a palindrome (14431155113441).

Subtracting from 12211032102220 its reverse (2220123011221), we obtain a palindrome (9990909090999).

The spelling of 12211032102220 in words is "twelve trillion, two hundred eleven billion, thirty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 397 490 794 980 1381 1588 1985 2762 2779 3970 5524 5558 6905 7940 9667 11116 13810 13895 19334 19453 22727 27620 27790 38668 38906 45454 48335 55580 67669 77812 90908 96670 97265 113635 135338 159089 193340 194530 227270 270676 318178 338345 389060 454540 548257 636356 676690 795445 1096514 1113623 1353380 1590890 2193028 2227246 2741285 3181780 3837799 4454492 5482570 5568115 7675598 9022619 10965140 11136230 15351196 18045238 19188995 22272460 26864593 31385987 36090476 38377990 45113095 53729186 62771974 63158333 76755980 90226190 107458372 125543948 126316666 134322965 156929935 180452380 219701909 252633332 268645930 313859870 315791665 439403818 442108331 537291860 627719740 631583330 878807636 884216662 1098509545 1263166660 1537913363 1768433324 2197019090 2210541655 3075826726 4394038180 4421083310 6151653452 7689566815 8842166620 12460236839 15379133630 24920473678 30758267260 49840947356 62301184195 87221657873 124602368390 174443315746 249204736780 348886631492 436108289365 610551605111 872216578730 1221103210222 1744433157460 2442206420444 3052758025555 6105516051110 12211032102220