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12223312200320 = 2751313111214871
BaseRepresentation
bin1011000111011111011000…
…1011101000001010000000
31121021112111122101021012112
42301313312023220022000
53100231320410402240
641555151225314452
72401051033261064
oct261676613501200
947245448337175
1012223312200320
113992972092161
121454b62635a28
136a886567ac20
1430387bc19aa4
15162e52cc3665
hexb1df62e8280

12223312200320 has 128 divisors (see below), whose sum is σ = 31709377687680. Its totient is φ = 4478770483200.

The previous prime is 12223312200287. The next prime is 12223312200331. The reversal of 12223312200320 is 2300221332221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122233122003202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4517516 + ... + 6697355.

It is an arithmetic number, because the mean of its divisors is an integer number (247729513185).

Almost surely, 212223312200320 is an apocalyptic number.

12223312200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223312200320 is an abundant number, since it is smaller than the sum of its proper divisors (19486065487360).

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

12223312200320 is a wasteful number, since it uses less digits than its factorization.

12223312200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11215034 (or 11215022 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12223312200320 its reverse (2300221332221), we get a palindrome (14523533532541).

The spelling of 12223312200320 in words is "twelve trillion, two hundred twenty-three billion, three hundred twelve million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 131 160 208 260 262 320 416 520 524 640 655 832 1040 1048 1310 1664 1703 2080 2096 2620 3406 4160 4192 5240 6812 8320 8384 8515 10480 13624 16768 17030 20960 27248 34060 41920 54496 68120 83840 108992 136240 217984 272480 544960 1089920 11214871 22429742 44859484 56074355 89718968 112148710 145793323 179437936 224297420 291586646 358875872 448594840 583173292 717751744 728966615 897189680 1166346584 1435503488 1457933230 1469148101 1794379360 2332693168 2915866460 2938296202 3588758720 4665386336 5831732920 5876592404 7177517440 7345740505 9330772672 11663465840 11753184808 14691481010 18661545344 19098925313 23326931680 23506369616 29382962020 38197850626 46653863360 47012739232 58765924040 76395701252 93307726720 94025478464 95494626565 117531848080 152791402504 188050956928 190989253130 235063696160 305582805008 381978506260 470127392320 611165610016 763957012520 940254784640 1222331220032 1527914025040 2444662440064 3055828050080 6111656100160 12223312200320