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22120021121220 = 223251147237696337
BaseRepresentation
bin1010000011110001110000…
…00000000101100011000100
32220022122122022020000222200
411001320320000011203010
510344403300401334340
6115013444124154500
74442055513151161
oct501707000054304
986278568200880
1022120021121220
1170590592896a0
122593012398a30
13c45ba8219019
14566886b91068
152855d4adc330
hex141e380058c4

22120021121220 has 144 divisors (see below), whose sum is σ = 74754547515648. Its totient is φ = 5248335098880.

The previous prime is 22120021121171. The next prime is 22120021121243. The reversal of 22120021121220 is 2212112002122.

It is a happy number.

22120021121220 is a `hidden beast` number, since 2 + 21 + 200 + 211 + 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 = 22120021121193 and 22120021121202.

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, 118755109 + ... + 118941228.

It is an arithmetic number, because the mean of its divisors is an integer number (519128802192).

Almost surely, 222120021121220 is an apocalyptic number.

22120021121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120021121220 is an abundant number, since it is smaller than the sum of its proper divisors (52634526394428).

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

22120021121220 is a wasteful number, since it uses less digits than its factorization.

22120021121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237696410 (or 237696405 counting only the distinct ones).

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

Adding to 22120021121220 its reverse (2212112002122), we get a palindrome (24332133123342).

The spelling of 22120021121220 in words is "twenty-two trillion, one hundred twenty billion, twenty-one 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 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 495 517 564 660 705 846 940 990 1034 1410 1551 1692 1980 2068 2115 2585 2820 3102 4230 4653 5170 6204 7755 8460 9306 10340 15510 18612 23265 31020 46530 93060 237696337 475392674 713089011 950785348 1188481685 1426178022 2139267033 2376963370 2614659707 2852356044 3565445055 4278534066 4753926740 5229319414 7130890110 7843979121 8557068132 10458638828 10696335165 11171727839 13073298535 14261780220 15687958242 21392670330 22343455678 23531937363 26146597070 31375916484 33515183517 39219895605 42785340660 44686911356 47063874726 52293194140 55858639195 67030367034 78439791210 94127749452 100545550551 111717278390 117659686815 122889006229 134060734068 156879582420 167575917585 201091101102 223434556780 235319373630 245778012458 335151835170 368667018687 402182202204 470638747260 491556024916 502727752755 614445031145 670303670340 737334037374 1005455505510 1106001056061 1228890062290 1474668074748 1843335093435 2010911011020 2212002112122 2457780124580 3686670186870 4424004224244 5530005280305 7373340373740 11060010560610 22120021121220