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12221012000120 = 2357113967861039
BaseRepresentation
bin1011000111010110110100…
…0101000011110101111000
31121021022120100010222201112
42301311231011003311320
53100212113033000440
641554131100135452
72400640033014050
oct261655505036570
947238510128645
1012221012000120
1139919a1744760
121454620237588
136a8589c65911
14303700538560
15162d6adb2965
hexb1d6d143d78

12221012000120 has 64 divisors (see below), whose sum is σ = 34282319385600. Its totient is φ = 3809146596480.

The previous prime is 12221012000117. The next prime is 12221012000149. The reversal of 12221012000120 is 2100021012221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12221012000095 and 12221012000104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1983927440 + ... + 1983933599.

It is an arithmetic number, because the mean of its divisors is an integer number (535661240400).

Almost surely, 212221012000120 is an apocalyptic number.

12221012000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221012000120 is an abundant number, since it is smaller than the sum of its proper divisors (22061307385480).

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

12221012000120 is a wasteful number, since it uses less digits than its factorization.

12221012000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967861068 (or 3967861064 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12221012000120 its reverse (2100021012221), we get a palindrome (14321033012341).

The spelling of 12221012000120 in words is "twelve trillion, two hundred twenty-one billion, twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3967861039 7935722078 15871444156 19839305195 27775027273 31742888312 39678610390 43646471429 55550054546 79357220780 87292942858 111100109092 138875136365 158714441560 174585885716 218232357145 222200218184 277750272730 305525300003 349171771432 436464714290 555500545460 611050600006 872929428580 1111001090920 1222101200012 1527626500015 1745858857160 2444202400024 3055253000030 6110506000060 12221012000120