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12210101000020 = 22571121373524971
BaseRepresentation
bin1011000110101110001010…
…1110111001011101010100
31121020021101221011202101201
42301223202232321131110
53100022241324000040
641545124251402244
72400102454030120
oct261534256713524
947207357152351
1012210101000020
113988302774900
121452496153384
136a753b5ccc41
14302d873d4580
1516292d053a9a
hexb1ae2bb9754

12210101000020 has 144 divisors (see below), whose sum is σ = 32233969563264. Its totient is φ = 3802966675200.

The previous prime is 12210100999979. The next prime is 12210101000033. The reversal of 12210101000020 is 2000010101221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12210100999970 and 12210101000006.

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, 22996135 + ... + 23521105.

It is an arithmetic number, because the mean of its divisors is an integer number (223847010856).

Almost surely, 212210101000020 is an apocalyptic number.

12210101000020 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 12210101000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116984781632).

12210101000020 is an abundant number, since it is smaller than the sum of its proper divisors (20023868563244).

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

12210101000020 is a wasteful number, since it uses less digits than its factorization.

12210101000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526382 (or 526369 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12210101000020 its reverse (2000010101221), we get a palindrome (14210111101241).

The spelling of 12210101000020 in words is "twelve trillion, two hundred ten billion, one hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1373 1540 1694 2420 2746 3388 4235 5492 6865 8470 9611 13730 15103 16940 19222 27460 30206 38444 48055 60412 75515 96110 105721 151030 166133 192220 211442 302060 332266 422884 524971 528605 664532 830665 1049942 1057210 1162931 1661330 2099884 2114420 2325862 2624855 3322660 3674797 4651724 5249710 5774681 5814655 7349594 10499420 11549362 11629310 14699188 18373985 23098724 23258620 28873405 36747970 40422767 57746810 63521491 73495940 80845534 115493620 127042982 161691068 202113835 254085964 317607455 404227670 444650437 635214910 720785183 808455340 889300874 1270429820 1441570366 1778601748 2223252185 2883140732 3603925915 4446504370 5045496281 7207851830 7928637013 8893008740 10090992562 14415703660 15857274026 20181985124 25227481405 31714548052 39643185065 50454962810 55500459091 79286370130 87215007143 100909925620 111000918182 158572740260 174430014286 222001836364 277502295455 348860028572 436075035715 555004590910 610505050001 872150071430 1110009181820 1221010100002 1744300142860 2442020200004 3052525250005 6105050500010 12210101000020