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220012112011120 = 245111319231827973
BaseRepresentation
bin110010000001100110001111…
…110010000101111101110000
31001211222221201100222110221121
4302001212033302011331300
5212314134301133323440
62055532100254032024
764225231143622252
oct6201461762057560
91054887640873847
10220012112011120
1164114681587630
12208139a31a8614
13959c08c994cb0
143c489006d9cd2
151a6804741e34a
hexc8198fc85f70

220012112011120 has 80 divisors (see below), whose sum is σ = 600956160531552. Its totient is φ = 73850219412480.

The previous prime is 220012112011099. The next prime is 220012112011157. The reversal of 220012112011120 is 21110211210022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2200121120111202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220012112011094 and 220012112011103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9615902547 + ... + 9615925426.

Almost surely, 2220012112011120 is an apocalyptic number.

220012112011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220012112011120 is an abundant number, since it is smaller than the sum of its proper divisors (380944048520432).

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

220012112011120 is a wasteful number, since it uses less digits than its factorization.

220012112011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19231828010 (or 19231828004 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220012112011120 its reverse (21110211210022), we get a palindrome (241122323221142).

It can be divided in two parts, 2200121 and 12011120, that added together give a palindrome (14211241).

The spelling of 220012112011120 in words is "two hundred twenty trillion, twelve billion, one hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 19231827973 38463655946 76927311892 96159139865 153854623784 192318279730 211550107703 250013763649 307709247568 384636559460 423100215406 500027527298 769273118920 846200430812 1000055054596 1057750538515 1250068818245 1538546237840 1692400861624 2000110109192 2115501077030 2500137636490 2750151400139 3384801723248 4000220218384 4231002154060 5000275272980 5500302800278 8462004308120 10000550545960 11000605600556 13750757000695 16924008616240 20001101091920 22001211201112 27501514001390 44002422402224 55003028002780 110006056005560 220012112011120