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120845112200 = 23524725232
BaseRepresentation
bin111000010001011101…
…1100001001110001000
3102112220220101202111022
41300202323201032020
53434442322042300
6131303202052012
711505440335241
oct1604273411610
9375826352438
10120845112200
1147282a0845a
121b50694a008
13b51b303967
145bc5695cc8
15322428e285
hex1c22ee1388

120845112200 has 108 divisors (see below), whose sum is σ = 287619993765. Its totient is φ = 47219117760.

The previous prime is 120845112191. The next prime is 120845112239. The reversal of 120845112200 is 2211548021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 118428209956 + 2416902244 = 344134^2 + 49162^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=245810.

It is a super-2 number, since 2×1208451122002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120845112200.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 231061139 + ... + 231061661.

Almost surely, 2120845112200 is an apocalyptic number.

120845112200 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 120845112200

120845112200 is an abundant number, since it is smaller than the sum of its proper divisors (166774881565).

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

120845112200 is an frugal number, since it uses more digits than its factorization.

120845112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The spelling of 120845112200 in words is "one hundred twenty billion, eight hundred forty-five million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 523 940 1046 1175 1880 2092 2209 2350 2615 4184 4418 4700 5230 8836 9400 10460 11045 13075 17672 20920 22090 24581 26150 44180 49162 52300 55225 88360 98324 104600 110450 122905 196648 220900 245810 273529 441800 491620 547058 614525 983240 1094116 1155307 1229050 1367645 2188232 2310614 2458100 2735290 4621228 4916200 5470580 5776535 6838225 9242456 10941160 11553070 12855863 13676450 23106140 25711726 27352900 28882675 46212280 51423452 54705800 57765350 64279315 102846904 115530700 128558630 231061400 257117260 321396575 514234520 604225561 642793150 1208451122 1285586300 2416902244 2571172600 3021127805 4833804488 6042255610 12084511220 15105639025 24169022440 30211278050 60422556100 120845112200