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12110021220 = 22351122337159
BaseRepresentation
bin10110100011101000…
…00100001001100100
31011020222010211002110
423101310010021210
5144300131134340
65321355441020
7606045324213
oct132164041144
934228124073
1012110021220
115154878200
12241b756170
1311acba673b
1482c49b07a
154ad254680
hex2d1d04264

12110021220 has 144 divisors (see below), whose sum is σ = 37436031360. Its totient is φ = 2922754560.

The previous prime is 12110021171. The next prime is 12110021221. The reversal of 12110021220 is 2212001121.

It is a super-2 number, since 2×121100212202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12110021196 and 12110021205.

It is not an unprimeable number, because it can be changed into a prime (12110021221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1688001 + ... + 1695159.

It is an arithmetic number, because the mean of its divisors is an integer number (259972440).

Almost surely, 212110021220 is an apocalyptic number.

12110021220 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 12110021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718015680).

12110021220 is an abundant number, since it is smaller than the sum of its proper divisors (25326010140).

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

12110021220 is a wasteful number, since it uses less digits than its factorization.

12110021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 7413 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12110021220 its reverse (2212001121), we get a palindrome (14322022341).

The spelling of 12110021220 in words is "twelve billion, one hundred ten million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 233 242 330 363 466 484 605 660 699 726 932 1165 1210 1398 1452 1815 2330 2420 2563 2796 3495 3630 4660 5126 6990 7159 7260 7689 10252 12815 13980 14318 15378 21477 25630 28193 28636 30756 35795 38445 42954 51260 56386 71590 76890 78749 84579 85908 107385 112772 140965 143180 153780 157498 169158 214770 236247 281930 314996 338316 393745 422895 429540 472494 563860 787490 845790 866239 944988 1181235 1574980 1668047 1691580 1732478 2362470 2598717 3336094 3464956 4331195 4724940 5004141 5197434 6672188 8340235 8662390 10008282 10394868 12993585 16680470 17324780 18348517 20016564 25020705 25987170 33360940 36697034 50041410 51974340 55045551 73394068 91742585 100082820 110091102 183485170 201833687 220182204 275227755 366970340 403667374 550455510 605501061 807334748 1009168435 1100911020 1211002122 2018336870 2422004244 3027505305 4036673740 6055010610 12110021220