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12212322133320 = 2333537305613667
BaseRepresentation
bin1011000110110110011100…
…0111110110010101001000
31121020111010201122000111000
42301231213013312111020
53100041313431231240
641550132514135000
72400211504245321
oct261554707662510
947214121560430
1012212322133320
113989242519161
1214529b5b81460
136a78038207ba
143031183b3448
15162a0d047430
hexb1b671f6548

12212322133320 has 128 divisors (see below), whose sum is σ = 41807949782400. Its totient is φ = 3168602489088.

The previous prime is 12212322133303. The next prime is 12212322133457. The reversal of 12212322133320 is 2333122321221.

12212322133320 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 322 + 1 + 3 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 152766874 + ... + 152846793.

It is an arithmetic number, because the mean of its divisors is an integer number (326624607675).

Almost surely, 212212322133320 is an apocalyptic number.

12212322133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212322133320 is an abundant number, since it is smaller than the sum of its proper divisors (29595627649080).

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

12212322133320 is a wasteful number, since it uses less digits than its factorization.

12212322133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305613724 (or 305613714 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12212322133320 its reverse (2333122321221), we get a palindrome (14545444454541).

The spelling of 12212322133320 in words is "twelve trillion, two hundred twelve billion, three hundred twenty-two million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 9990 13320 19980 39960 305613667 611227334 916841001 1222454668 1528068335 1833682002 2444909336 2750523003 3056136670 3667364004 4584205005 5501046006 6112273340 7334728008 8251569009 9168410010 11002092012 11307705679 12224546680 13752615015 16503138018 18336820020 22004184024 22615411358 27505230030 33006276036 33923117037 36673640040 41257845045 45230822716 55010460060 56538528395 66012552072 67846234074 82515690090 90461645432 101769351111 110020920120 113077056790 135692468148 165031380180 169615585185 203538702222 226154113580 271384936296 305308053333 330062760360 339231170370 407077404444 452308227160 508846755555 610616106666 678462340740 814154808888 1017693511110 1221232213332 1356924681480 1526540266665 2035387022220 2442464426664 3053080533330 4070774044440 6106161066660 12212322133320