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12220011110120 = 235111911312935609
BaseRepresentation
bin1011000111010011000101…
…1010111101111011101000
31121021012222120210111202112
42301310301122331323220
53100203040321010440
641553443503421452
72400603160415312
oct261646132757350
947235876714675
1012220011110120
113991528773240
1214543a0bb4888
136a845a7a6608
143036476387b2
15162d0d0a7965
hexb1d316bdee8

12220011110120 has 128 divisors (see below), whose sum is σ = 31852646064000. Its totient is φ = 4172509716480.

The previous prime is 12220011110119. The next prime is 12220011110143. The reversal of 12220011110120 is 2101111002221.

It is a junction number, because it is equal to n+sod(n) for n = 12220011110095 and 12220011110104.

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, 5523125 + ... + 7412484.

It is an arithmetic number, because the mean of its divisors is an integer number (248848797375).

Almost surely, 212220011110120 is an apocalyptic number.

12220011110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220011110120 is an abundant number, since it is smaller than the sum of its proper divisors (19632634953880).

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

12220011110120 is a wasteful number, since it uses less digits than its factorization.

12220011110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935763 (or 12935759 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12220011110120 its reverse (2101111002221), we get a palindrome (14321122112341).

The spelling of 12220011110120 in words is "twelve trillion, two hundred twenty billion, eleven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 113 152 190 209 220 226 380 418 440 452 565 760 836 904 1045 1130 1243 1672 2090 2147 2260 2486 4180 4294 4520 4972 6215 8360 8588 9944 10735 12430 17176 21470 23617 24860 42940 47234 49720 85880 94468 118085 188936 236170 472340 944680 12935609 25871218 51742436 64678045 103484872 129356090 142291699 245776571 258712180 284583398 491553142 517424360 569166796 711458495 983106284 1138333592 1228882855 1422916990 1461723817 1966212568 2457765710 2703542281 2845833980 2923447634 4915531420 5407084562 5691667960 5846895268 7308619085 9831062840 10814169124 11693790536 13517711405 14617238170 16078961987 21628338248 27035422810 27772752523 29234476340 32157923974 54070845620 55545505046 58468952680 64315847948 80394809935 108141691240 111091010092 128631695896 138863762615 160789619870 222182020184 277727525230 305500277753 321579239740 555455050460 611000555506 643158479480 1110910100920 1222001111012 1527501388765 2444002222024 3055002777530 6110005555060 12220011110120