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12221001122120 = 2357479237138431
BaseRepresentation
bin1011000111010110110001…
…1011100100000101001000
31121021022112120200022220122
42301311230123210011020
53100212102241401440
641554130031042412
72400636541366550
oct261655433440510
947238476608818
1012221001122120
11399199659497a
121454618670408
136a858792752b
143036dcd06160
15162d69e647b5
hexb1d6c6e4148

12221001122120 has 128 divisors (see below), whose sum is σ = 31505139302400. Its totient is φ = 4179437740800.

The previous prime is 12221001122117. The next prime is 12221001122129. The reversal of 12221001122120 is 2122110012221.

It is not an unprimeable number, because it can be changed into a prime (12221001122129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317979305 + ... + 318017735.

It is an arithmetic number, because the mean of its divisors is an integer number (246133900800).

Almost surely, 212221001122120 is an apocalyptic number.

12221001122120 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 12221001122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15752569651200).

12221001122120 is an abundant number, since it is smaller than the sum of its proper divisors (19284138180280).

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

12221001122120 is a wasteful number, since it uses less digits than its factorization.

12221001122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41299 (or 41295 counting only the distinct ones).

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

Adding to 12221001122120 its reverse (2122110012221), we get a palindrome (14343111134341).

The spelling of 12221001122120 in words is "twelve trillion, two hundred twenty-one billion, one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 479 958 1916 2371 2395 3353 3832 4742 4790 6706 9484 9580 11855 13412 16597 16765 18968 19160 23710 26824 33194 33530 38431 47420 66388 67060 76862 82985 94840 132776 134120 153724 165970 192155 269017 307448 331940 384310 538034 663880 768620 1076068 1135709 1345085 1537240 2152136 2271418 2690170 4542836 5380340 5678545 7949963 9085672 10760680 11357090 15899926 18408449 22714180 31799852 36816898 39749815 45428360 63599704 73633796 79499630 91119901 92042245 128859143 147267592 158999260 182239802 184084490 257718286 317998520 364479604 368168980 455599505 515436572 637839307 644295715 728959208 736337960 911199010 1030873144 1275678614 1288591430 1822398020 2551357228 2577182860 3189196535 3644796040 5102714456 5154365720 6378393070 12756786140 25513572280 43646432579 87292865158 174585730316 218232162895 305525028053 349171460632 436464325790 611050056106 872928651580 1222100112212 1527625140265 1745857303160 2444200224424 3055250280530 6110500561060 12221001122120