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1222210121220 = 22325113072010677
BaseRepresentation
bin10001110010010001011…
…001100110111000000100
311022211201220222011120200
4101302101121212320010
5130011041242334340
62333250420330500
7154205335422024
oct21622131467004
94284656864520
101222210121220
11431377828980
12178a57843a30
138b33bb28a7a
1443226163a84
1521bd49c2330
hex11c91666e04

1222210121220 has 144 divisors (see below), whose sum is σ = 4057580374848. Its totient is φ = 295328090880.

The previous prime is 1222210121183. The next prime is 1222210121263. The reversal of 1222210121220 is 221210122221.

It is a happy number.

1222210121220 is a `hidden beast` number, since 1 + 222 + 210 + 1 + 212 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1222210121193 and 1222210121202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397479 + ... + 1613198.

It is an arithmetic number, because the mean of its divisors is an integer number (28177641492).

Almost surely, 21222210121220 is an apocalyptic number.

1222210121220 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 1222210121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028790187424).

1222210121220 is an abundant number, since it is smaller than the sum of its proper divisors (2835370253628).

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

1222210121220 is a wasteful number, since it uses less digits than its factorization.

1222210121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011010 (or 2011005 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1222210121220 its reverse (221210122221), we get a palindrome (1443420243441).

The spelling of 1222210121220 in words is "one trillion, two hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 307 330 396 495 614 660 921 990 1228 1535 1842 1980 2763 3070 3377 3684 4605 5526 6140 6754 9210 10131 11052 13508 13815 16885 18420 20262 27630 30393 33770 40524 50655 55260 60786 67540 101310 121572 151965 202620 303930 607860 2010677 4021354 6032031 8042708 10053385 12064062 18096093 20106770 22117447 24128124 30160155 36192186 40213540 44234894 60320310 66352341 72384372 88469788 90480465 110587235 120640620 132704682 180960930 199057023 221174470 265409364 331761705 361921860 398114046 442348940 617277839 663523410 796228092 995285115 1234555678 1327046820 1851833517 1990570230 2469111356 3086389195 3703667034 3981140460 5555500551 6172778390 6790056229 7407334068 9259167585 11111001102 12345556780 13580112458 18518335170 20370168687 22222002204 27160224916 27777502755 33950281145 37036670340 40740337374 55555005510 61110506061 67900562290 81480674748 101850843435 111110011020 122221012122 135801124580 203701686870 244442024244 305552530305 407403373740 611105060610 1222210121220