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12221022121220 = 22511247491218833
BaseRepresentation
bin1011000111010110110110…
…1011101010110100000100
31121021022121001012012021002
42301311231223222310010
53100212123130334340
641554132101112432
72400640215026453
oct261655553526404
947238531165232
1012221022121220
1139919a7427900
1214546236b8718
136a858c09a633
14303701a10b9a
15162d6bc11715
hexb1d6daead04

12221022121220 has 144 divisors (see below), whose sum is σ = 28868357193984. Its totient is φ = 4340576486400.

The previous prime is 12221022121211. The next prime is 12221022121237. The reversal of 12221022121220 is 2212122012221.

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 = 12221022121192 and 12221022121201.

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 47 ways as a sum of consecutive naturals, for example, 55736924 + ... + 55955756.

It is an arithmetic number, because the mean of its divisors is an integer number (200474702736).

Almost surely, 212221022121220 is an apocalyptic number.

12221022121220 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 12221022121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14434178596992).

12221022121220 is an abundant number, since it is smaller than the sum of its proper divisors (16647335072764).

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

12221022121220 is a wasteful number, since it uses less digits than its factorization.

12221022121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219402 (or 219389 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12221022121220 its reverse (2212122012221), we get a palindrome (14433144133441).

The spelling of 12221022121220 in words is "twelve trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 121 188 220 235 242 470 484 491 517 605 940 982 1034 1210 1964 2068 2420 2455 2585 4910 5170 5401 5687 9820 10340 10802 11374 21604 22748 23077 27005 28435 46154 54010 56870 59411 92308 108020 113740 115385 118822 218833 230770 237644 253847 297055 437666 461540 507694 594110 875332 1015388 1094165 1188220 1269235 2188330 2407163 2538470 2792317 4376660 4814326 5076940 5584634 9628652 10285151 11169268 12035815 13961585 20570302 24071630 26478793 27923170 41140604 48143260 51425755 52957586 55846340 102851510 105915172 107447003 113136661 132393965 205703020 214894006 226273322 264787930 429788012 452546644 529575860 537235015 565683305 1074470030 1131366610 1181917033 1244503271 2148940060 2262733220 2363834066 2489006542 4727668132 4978013084 5050009141 5909585165 6222516355 10100018282 11819170330 12445032710 13001087363 20200036564 23638340660 24890065420 25250045705 26002174726 50500091410 52004349452 55550100551 65005436815 101000182820 111100201102 130010873630 222200402204 260021747260 277750502755 555501005510 611051106061 1111002011020 1222102212122 2444204424244 3055255530305 6110511060610 12221022121220