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222100100012120 = 2351112491448927893
BaseRepresentation
bin110010011111111110110101…
…100100001101100001011000
31002010101120011211202220021112
4302133332311210031201120
5213102342001100341440
62104211213303155452
764532126345035511
oct6237766544154130
91063346154686245
10222100100012120
116484a13a356910
1220ab05a2145b88
1396c0c46262885
143cbb9b8b87a08
151aa24eece5965
hexc9ffb590d858

222100100012120 has 128 divisors (see below), whose sum is σ = 545648481000000. Its totient is φ = 80690547425280.

The previous prime is 222100100012093. The next prime is 222100100012149. The reversal of 222100100012120 is 21210001001222.

It is a junction number, because it is equal to n+sod(n) for n = 222100100012095 and 222100100012104.

It is a congruent number.

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, 7962560894 + ... + 7962588786.

Almost surely, 2222100100012120 is an apocalyptic number.

222100100012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222100100012120 is an abundant number, since it is smaller than the sum of its proper divisors (323548380987880).

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

222100100012120 is a wasteful number, since it uses less digits than its factorization.

222100100012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43653 (or 43649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222100100012120 its reverse (21210001001222), we get a palindrome (243310101013342).

The spelling of 222100100012120 in words is "two hundred twenty-two trillion, one hundred billion, one hundred million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1249 2498 4996 6245 9992 12490 13739 14489 24980 27478 27893 28978 49960 54956 55786 57956 68695 72445 109912 111572 115912 137390 139465 144890 159379 223144 274780 278930 289780 306823 318758 549560 557860 579560 613646 637516 796895 1115720 1227292 1275032 1534115 1593790 2454584 3068230 3187580 6136460 6375160 12272920 18096761 34838357 36193522 69676714 72387044 90483805 139353428 144774088 174191785 180967610 199064371 278706856 348383570 361935220 383221927 398128742 404141677 696767140 723870440 766443854 796257484 808283354 995321855 1393534280 1532887708 1592514968 1616566708 1916109635 1990643710 2020708385 3065775416 3233133416 3832219270 3981287420 4041416770 4445558447 7664438540 7962574840 8082833540 8891116894 15328877080 16165667080 17782233788 22227792235 35564467576 44455584470 88911168940 177822337880 504772954573 1009545909146 2019091818292 2523864772865 4038183636584 5047729545730 5552502500303 10095459091460 11105005000606 20190918182920 22210010001212 27762512501515 44420020002424 55525025003030 111050050006060 222100100012120