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12102222011020 = 22529312392816291
BaseRepresentation
bin1011000000011100010010…
…1001001101101010001100
31120211221221122211022010121
42300013010221031222030
53041240322313323040
641423403430314324
72356233225533161
oct260070451155214
946757848738117
1012102222011020
113946583903749
1214355a97b89a4
1369a30866953b
142dba71baa068
1515ec17273c4a
hexb01c4a4da8c

12102222011020 has 96 divisors (see below), whose sum is σ = 27252694425600. Its totient is φ = 4504261574400.

The previous prime is 12102222010981. The next prime is 12102222011083. The reversal of 12102222011020 is 2011022220121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12102222010985 and 12102222011003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2889075 + ... + 5705365.

It is an arithmetic number, because the mean of its divisors is an integer number (283882233600).

Almost surely, 212102222011020 is an apocalyptic number.

12102222011020 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 12102222011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13626347212800).

12102222011020 is an abundant number, since it is smaller than the sum of its proper divisors (15150472414580).

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

12102222011020 is a wasteful number, since it uses less digits than its factorization.

12102222011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816599 (or 2816597 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12102222011020 its reverse (2011022220121), we get a palindrome (14113244231141).

The spelling of 12102222011020 in words is "twelve trillion, one hundred two billion, two hundred twenty-two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 239 290 310 478 580 620 899 956 1195 1798 2390 3596 4495 4780 6931 7409 8990 13862 14818 17980 27724 29636 34655 37045 69310 74090 138620 148180 214861 429722 859444 1074305 2148610 2816291 4297220 5632582 11265164 14081455 28162910 56325820 81672439 87305021 163344878 174610042 326689756 349220084 408362195 436525105 673093549 816724390 873050210 1346187098 1633448780 1746100420 2531845609 2692374196 3365467745 5063691218 6730935490 10127382436 12659228045 13461870980 19519712921 20865900019 25318456090 39039425842 41731800038 50636912180 78078851684 83463600076 97598564605 104329500095 195197129210 208659000190 390394258420 417318000380 605111100551 1210222201102 2420444402204 3025555502755 6051111005510 12102222011020