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12221101022120 = 2351735215995659
BaseRepresentation
bin1011000111010111001001…
…1000101001101110101000
31121021022210112122202221122
42301311302120221232220
53100212303330201440
641554144000154412
72400642163464314
oct261656230515650
947238715582848
1012221101022120
113991a37a18261
121454646008a08
136a85a2534663
1430370c2acb44
15162d73ae97b5
hexb1d72629ba8

12221101022120 has 128 divisors (see below), whose sum is σ = 27760669920000. Its totient is φ = 4841900943360.

The previous prime is 12221101022083. The next prime is 12221101022159. The reversal of 12221101022120 is 2122010112221.

12221101022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2159583851 + ... + 2159589509.

It is an arithmetic number, because the mean of its divisors is an integer number (216880233750).

Almost surely, 212221101022120 is an apocalyptic number.

12221101022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221101022120 is an abundant number, since it is smaller than the sum of its proper divisors (15539568897880).

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

12221101022120 is a wasteful number, since it uses less digits than its factorization.

12221101022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6963 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12221101022120 its reverse (2122010112221), we get a palindrome (14343111134341).

The spelling of 12221101022120 in words is "twelve trillion, two hundred twenty-one billion, one hundred one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 173 346 521 599 692 865 1042 1198 1384 1730 2084 2396 2605 2995 3460 4168 4792 5210 5659 5990 6920 10420 11318 11980 20840 22636 23960 28295 45272 56590 90133 103627 113180 180266 207254 226360 312079 360532 414508 450665 518135 624158 721064 829016 901330 979007 1036270 1248316 1560395 1802660 1958014 2072540 2496632 2948339 3120790 3389741 3605320 3916028 4145080 4895035 5896678 6241580 6779482 7832056 9790070 11793356 12483160 13558964 14741695 16948705 19580140 23586712 27117928 29483390 33897410 39160280 53989667 58966780 67794820 107979334 117933560 135589640 215958668 269948335 431917336 510062647 539896670 586425193 1020125294 1079793340 1172850386 1766055061 2040250588 2159586680 2345700772 2550313235 2932125965 3532110122 4080501176 4691401544 5100626470 5864251930 7064220244 8830275305 10201252940 11728503860 14128440488 17660550610 20402505880 23457007720 35321101220 70642202440 305527525553 611055051106 1222110102212 1527637627765 2444220204424 3055275255530 6110550511060 12221101022120