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12220000111120 = 2456716714099689
BaseRepresentation
bin1011000111010011000011…
…0001000000101000010000
31121021012221211002200222011
42301310300301000220100
53100203030012023440
641553442431552304
72400602665055254
oct261646061005020
947235854080864
1012220000111120
11399152254055a
12145439938b694
136a8458425129
14303645db4264
15162d0c1339ea
hexb1d30c40a10

12220000111120 has 160 divisors (see below), whose sum is σ = 29031804345600. Its totient is φ = 4782321696768.

The previous prime is 12220000111073. The next prime is 12220000111127. The reversal of 12220000111120 is 2111100002221.

It is a self number, because there is not a number n which added to its sum of digits gives 12220000111120.

It is not an unprimeable number, because it can be changed into a prime (12220000111127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261219236 + ... + 1261228924.

It is an arithmetic number, because the mean of its divisors is an integer number (181448777160).

Almost surely, 212220000111120 is an apocalyptic number.

12220000111120 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 12220000111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515902172800).

12220000111120 is an abundant number, since it is smaller than the sum of its proper divisors (16811804234480).

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

12220000111120 is a wasteful number, since it uses less digits than its factorization.

12220000111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11339 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12220000111120 its reverse (2111100002221), we get a palindrome (14331100113341).

The spelling of 12220000111120 in words is "twelve trillion, two hundred twenty billion, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 167 268 334 335 536 668 670 835 1072 1336 1340 1409 1670 2672 2680 2818 3340 5360 5636 6680 7045 9689 11189 11272 13360 14090 19378 22378 22544 28180 38756 44756 48445 55945 56360 77512 89512 94403 96890 111890 112720 155024 179024 188806 193780 223780 235303 377612 387560 447560 470606 472015 649163 755224 775120 895120 941212 944030 1176515 1298326 1510448 1618063 1882424 1888060 2353030 2596652 3236126 3245815 3764848 3776120 4706060 5193304 6472252 6491630 7552240 8090315 9412120 10386608 12944504 12983260 13651801 15765301 16180630 18824240 25889008 25966520 27303602 31530602 32361260 51933040 54607204 63061204 64722520 68259005 78826505 108410221 109214408 126122408 129445040 136518010 157653010 216820442 218428816 252244816 273036020 315306020 433640884 542051105 546072040 630612040 867281768 914670667 1084102210 1092144080 1261224080 1734563536 1829341334 2168204420 2279850767 3658682668 4336408840 4559701534 4573353335 7317365336 8672817680 9119403068 9146706670 11399253835 14634730672 18238806136 18293413340 22798507670 36477612272 36586826680 45597015340 73173653360 91194030680 152750001389 182388061360 305500002778 611000005556 763750006945 1222000011112 1527500013890 2444000022224 3055000027780 6110000055560 12220000111120