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12233320021120 = 275111991457237
BaseRepresentation
bin1011001000000100101010…
…1100011011110010000000
31121022111100002212020110011
42302001022230123302000
53100412314411133440
642003524251514304
72401554034325152
oct262011254336200
947274302766404
1012233320021120
113997138259040
121456a96158994
136a979bb76093
1430414b016ad2
1516333b6c89ea
hexb204ab1bc80

12233320021120 has 128 divisors (see below), whose sum is σ = 33583097793600. Its totient is φ = 4214349434880.

The previous prime is 12233320021103. The next prime is 12233320021147. The reversal of 12233320021120 is 2112002333221.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12233320021091 and 12233320021100.

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 15 ways as a sum of consecutive naturals, for example, 45594859 + ... + 45862378.

Almost surely, 212233320021120 is an apocalyptic number.

12233320021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12233320021120 is an abundant number, since it is smaller than the sum of its proper divisors (21349777772480).

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

12233320021120 is a wasteful number, since it uses less digits than its factorization.

12233320021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91457286 (or 91457274 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12233320021120 its reverse (2112002333221), we get a palindrome (14345322354341).

The spelling of 12233320021120 in words is "twelve trillion, two hundred thirty-three billion, three hundred twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 304 320 352 380 418 440 608 640 704 760 836 880 1045 1216 1408 1520 1672 1760 2090 2432 3040 3344 3520 4180 6080 6688 7040 8360 12160 13376 16720 26752 33440 66880 133760 91457237 182914474 365828948 457286185 731657896 914572370 1006029607 1463315792 1737687503 1829144740 2012059214 2926631584 3475375006 3658289480 4024118428 5030148035 5853263168 6950750012 7316578960 8048236856 8688437515 10060296070 11706526336 13901500024 14633157920 16096473712 17376875030 19114562533 20120592140 27803000048 29266315840 32192947424 34753750060 38229125066 40241184280 55606000096 58532631680 64385894848 69507500120 76458250132 80482368560 95572812665 111212000192 128771789696 139015000240 152916500264 160964737120 191145625330 222424000384 278030000480 305833000528 321929474240 382291250660 556060000960 611666001056 643858948480 764582501320 1112120001920 1223332002112 1529165002640 2446664004224 3058330005280 6116660010560 12233320021120