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12221010021120 = 283515720271049
BaseRepresentation
bin1011000111010110110011…
…1101100000101100000000
31121021022120012102110001020
42301311230331200230000
53100212112031133440
641554130545505440
72400640010132265
oct261655475405400
947238505373036
1012221010021120
1139919a061291a
12145461b642280
136a8589721c04
1430370018126c
15162d6ab213d0
hexb1d6cf60b00

12221010021120 has 144 divisors (see below), whose sum is σ = 39279456837600. Its totient is φ = 3238178291712.

The previous prime is 12221010021091. The next prime is 12221010021127. The reversal of 12221010021120 is 2112001012221.

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 12221010021120.

It is not an unprimeable number, because it can be changed into a prime (12221010021127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9532645 + ... + 10738404.

Almost surely, 212221010021120 is an apocalyptic number.

12221010021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221010021120 is an abundant number, since it is smaller than the sum of its proper divisors (27058446816480).

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

12221010021120 is a wasteful number, since it uses less digits than its factorization.

12221010021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20271230 (or 20271216 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221010021120 its reverse (2112001012221), we get a palindrome (14333011033341).

The spelling of 12221010021120 in words is "twelve trillion, two hundred twenty-one billion, ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 157 160 192 240 256 314 320 384 471 480 628 640 768 785 942 960 1256 1280 1570 1884 1920 2355 2512 3140 3768 3840 4710 5024 6280 7536 9420 10048 12560 15072 18840 20096 25120 30144 37680 40192 50240 60288 75360 100480 120576 150720 200960 301440 602880 20271049 40542098 60813147 81084196 101355245 121626294 162168392 202710490 243252588 304065735 324336784 405420980 486505176 608131470 648673568 810841960 973010352 1216262940 1297347136 1621683920 1946020704 2432525880 2594694272 3182554693 3243367840 3892041408 4865051760 5189388544 6365109386 6486735680 7784082816 9547664079 9730103520 12730218772 12973471360 15568165632 15912773465 19095328158 19460207040 25460437544 25946942720 31825546930 38190656316 38920414080 47738320395 50920875088 63651093860 76381312632 77840828160 95476640790 101841750176 127302187720 152762625264 190953281580 203683500352 254604375440 305525250528 381906563160 407367000704 509208750880 611050501056 763813126320 814734001408 1018417501760 1222101002112 1527626252640 2036835003520 2444202004224 3055252505280 4073670007040 6110505010560 12221010021120