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12200121211110 = 23571919315842873
BaseRepresentation
bin1011000110001000111111…
…1001000001100011100110
31121012022122102102221200020
42301202033321001203212
53044341322012223420
641540354110100010
72366300243153460
oct261421771014346
947168572387606
1012200121211110
113984051404778
12145056baaa606
136a660ab6acc1
143026bbc13130
15162546d39340
hexb188fe418e6

12200121211110 has 128 divisors (see below), whose sum is σ = 35406922245120. Its totient is φ = 2628142350336.

The previous prime is 12200121211099. The next prime is 12200121211127. The reversal of 12200121211110 is 1111212100221.

It is a happy number.

It is a super-2 number, since 2×122001212111102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12200121211110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7151367 + ... + 8691506.

It is an arithmetic number, because the mean of its divisors is an integer number (276616580040).

Almost surely, 212200121211110 is an apocalyptic number.

12200121211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12200121211110 is an abundant number, since it is smaller than the sum of its proper divisors (23206801034010).

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

12200121211110 is a wasteful number, since it uses less digits than its factorization.

12200121211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843102.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12200121211110 its reverse (1111212100221), we get a palindrome (13311333311331).

The spelling of 12200121211110 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 193 210 266 285 386 399 570 579 665 798 965 1158 1330 1351 1930 1995 2702 2895 3667 3990 4053 5790 6755 7334 8106 11001 13510 18335 20265 22002 25669 36670 40530 51338 55005 77007 110010 128345 154014 256690 385035 770070 15842873 31685746 47528619 79214365 95057238 110900111 158428730 221800222 237643095 301014587 332700333 475286190 554500555 602029174 665400666 903043761 1109001110 1505072935 1663501665 1806087522 2107102109 3010145870 3057674489 3327003330 4214204218 4515218805 6115348978 6321306327 9030437610 9173023467 10535510545 12642612654 15288372445 18346046934 21071021090 21403721423 30576744890 31606531635 42807442846 45865117335 58095815291 63213063270 64211164269 91730234670 107018607115 116191630582 128422328538 174287445873 214037214230 290479076455 321055821345 348574891746 406670707037 580958152910 642111642690 813341414074 871437229365 1220012121111 1742874458730 2033353535185 2440024242222 4066707070370 6100060605555 12200121211110