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12102223201020 = 22325479711473247
BaseRepresentation
bin1011000000011100010010…
…1101110000001011111100
31120211221221202001202111200
42300013010231300023330
53041240323114413040
641423403512015500
72356233241620441
oct260070455601374
946757852052450
1012102223201020
113946584546817
1214355aa091590
1369a308995094
142dba71dd99c8
1515ec1740b630
hexb01c4b702fc

12102223201020 has 144 divisors (see below), whose sum is σ = 37529778843648. Its totient is φ = 3155339352960.

The previous prime is 12102223200937. The next prime is 12102223201031. The reversal of 12102223201020 is 2010232220121.

12102223201020 is a `hidden beast` number, since 1 + 21 + 0 + 222 + 320 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12102223200984 and 12102223201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7478037 + ... + 8951283.

It is an arithmetic number, because the mean of its divisors is an integer number (260623464192).

Almost surely, 212102223201020 is an apocalyptic number.

12102223201020 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 12102223201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18764889421824).

12102223201020 is an abundant number, since it is smaller than the sum of its proper divisors (25427555642628).

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

12102223201020 is a wasteful number, since it uses less digits than its factorization.

12102223201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474280 (or 1474275 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12102223201020 its reverse (2010232220121), we get a palindrome (14112455421141).

The spelling of 12102223201020 in words is "twelve trillion, one hundred two billion, two hundred twenty-three million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 971 1410 1692 1942 2115 2820 2913 3884 4230 4855 5826 8460 8739 9710 11652 14565 17478 19420 29130 34956 43695 45637 58260 87390 91274 136911 174780 182548 228185 273822 410733 456370 547644 684555 821466 912740 1369110 1473247 1642932 2053665 2738220 2946494 4107330 4419741 5892988 7366235 8214660 8839482 13259223 14732470 17678964 22098705 26518446 29464940 44197410 53036892 66296115 69242609 88394820 132592230 138485218 207727827 265184460 276970436 346213045 415455654 623183481 692426090 830911308 1038639135 1246366962 1384852180 1430522837 2077278270 2492733924 2861045674 3115917405 4154556540 4291568511 5722091348 6231834810 7152614185 8583137022 12463669620 12874705533 14305228370 17166274044 21457842555 25749411066 28610456740 42915685110 51498822132 64373527665 67234573339 85831370220 128747055330 134469146678 201703720017 257494110660 268938293356 336172866695 403407440034 605111160051 672345733390 806814880068 1008518600085 1210222320102 1344691466780 2017037200170 2420444640204 3025555800255 4034074400340 6051111600510 12102223201020