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12210132022220 = 225111491196931121
BaseRepresentation
bin1011000110101110010010…
…0101001111001111001100
31121020021111002112211212002
42301223210211033033030
53100022322244202340
641545131320331432
72400103311513626
oct261534445171714
947207432484762
1012210132022220
113988319233290
1214524a4613b78
136a7544b72282
14302d8b58bc16
15162930b30715
hexb1ae494f3cc

12210132022220 has 96 divisors (see below), whose sum is σ = 28163293704000. Its totient is φ = 4409738854400.

The previous prime is 12210132022201. The next prime is 12210132022259. The reversal of 12210132022220 is 2222023101221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12210132022192 and 12210132022201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392328260 + ... + 392359380.

It is an arithmetic number, because the mean of its divisors is an integer number (293367642750).

Almost surely, 212210132022220 is an apocalyptic number.

12210132022220 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 12210132022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081646852000).

12210132022220 is an abundant number, since it is smaller than the sum of its proper divisors (15953161681780).

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

12210132022220 is a wasteful number, since it uses less digits than its factorization.

12210132022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43259 (or 43257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12210132022220 its reverse (2222023101221), we get a palindrome (14432155123441).

The spelling of 12210132022220 in words is "twelve trillion, two hundred ten billion, one hundred thirty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1490 1639 2980 3278 6556 8195 11969 16390 23938 31121 32780 47876 59845 62242 119690 124484 131659 155605 239380 263318 311210 342331 526636 622420 658295 684662 1316590 1369324 1711655 1783381 2633180 3423310 3566762 4637029 6846620 7133524 8916905 9274058 17833810 18548116 19617191 23185145 35667620 39234382 46370290 51007319 78468764 92740580 98085955 102014638 196171910 204029276 255036595 372487249 392343820 510073190 744974498 1020146380 1489948996 1862436245 3724872490 4097359739 7449744980 8194719478 16389438956 20486798695 40973597390 55500600101 81947194780 111001200202 222002400404 277503000505 555006001010 610506601111 1110012002020 1221013202222 2442026404444 3052533005555 6105066011110 12210132022220