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12212244221220 = 223251912671132989
BaseRepresentation
bin1011000110110110001001…
…1110101000110100100100
31121020110221022000200011200
42301231202132220310210
53100041134010034340
641550121052202500
72400206540066331
oct261554236506444
947213838020150
1012212244221220
11398920254369a
121452993a69430
136a77c0641874
1430310bcd1988
15162a062a7330
hexb1b627a8d24

12212244221220 has 144 divisors (see below), whose sum is σ = 37251975720960. Its totient is φ = 3238310995200.

The previous prime is 12212244221189. The next prime is 12212244221237. The reversal of 12212244221220 is 2212244221221.

12212244221220 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 2 + 442 + 212 + 2 + 0 = 666.

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, 91762486 + ... + 91895474.

It is an arithmetic number, because the mean of its divisors is an integer number (258694275840).

Almost surely, 212212244221220 is an apocalyptic number.

12212244221220 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 12212244221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625987860480).

12212244221220 is an abundant number, since it is smaller than the sum of its proper divisors (25039731499740).

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

12212244221220 is a wasteful number, since it uses less digits than its factorization.

12212244221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135866 (or 135861 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12212244221220 its reverse (2212244221221), we get a palindrome (14424488442441).

Subtracting from 12212244221220 its reverse (2212244221221), we obtain a palindrome (9999999999999).

The spelling of 12212244221220 in words is "twelve trillion, two hundred twelve billion, two hundred forty-four million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2671 2865 3438 3820 5342 5730 6876 8013 8595 10684 11460 13355 16026 17190 24039 26710 32052 34380 40065 48078 53420 80130 96156 120195 132989 160260 240390 265978 398967 480780 510161 531956 664945 797934 1020322 1196901 1329890 1530483 1595868 1994835 2040644 2393802 2550805 2659780 3060966 3989670 4591449 4787604 5101610 5984505 6121932 7652415 7979340 9182898 10203220 11969010 15304830 18365796 22957245 23938020 25400899 30609660 45914490 50801798 76202697 91828980 101603596 127004495 152405394 228608091 254008990 304810788 355213619 381013485 457216182 508017980 710427238 762026970 914432364 1065640857 1143040455 1420854476 1524053940 1776068095 2131281714 2286080910 3196922571 3552136190 4262563428 4572161820 5328204285 6393845142 7104272380 10656408570 12787690284 15984612855 21312817140 31969225710 63938451420 67845801229 135691602458 203537403687 271383204916 339229006145 407074807374 610612211061 678458012290 814149614748 1017687018435 1221224422122 1356916024580 2035374036870 2442448844244 3053061055305 4070748073740 6106122110610 12212244221220