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120131232012220 = 225111325775599777
BaseRepresentation
bin11011010100001000111011…
…011010010001011110111100
3120202100102201002221222121111
4123110020323122101132330
5111221212230343342340
61103255305350211404
734206123626655652
oct3324107332213674
9522312632858544
10120131232012220
1135306407724360
12115822a2653b64
135205432623800
14219454dddcdd2
15dd4d50729aea
hex6d423b6917bc

120131232012220 has 144 divisors (see below), whose sum is σ = 298524702758688. Its totient is φ = 40253877780480.

The previous prime is 120131232012203. The next prime is 120131232012227. The reversal of 120131232012220 is 22210232131021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 120131232012191 and 120131232012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120131232012227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18652972 + ... + 24252748.

It is an arithmetic number, because the mean of its divisors is an integer number (2073088213602).

Almost surely, 2120131232012220 is an apocalyptic number.

120131232012220 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 120131232012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149262351379344).

120131232012220 is an abundant number, since it is smaller than the sum of its proper divisors (178393470746468).

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

120131232012220 is a wasteful number, since it uses less digits than its factorization.

120131232012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600400 (or 5600385 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 120131232012220 its reverse (22210232131021), we get a palindrome (142341464143241).

The spelling of 120131232012220 in words is "one hundred twenty trillion, one hundred thirty-one billion, two hundred thirty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 577 676 715 845 1154 1430 1690 1859 2308 2860 2885 3380 3718 5770 6347 7436 7501 9295 11540 12694 15002 18590 25388 30004 31735 37180 37505 63470 75010 82511 97513 126940 150020 165022 195026 330044 390052 412555 487565 825110 975130 1072643 1650220 1950260 2145286 4290572 5363215 5599777 10726430 11199554 21452860 22399108 27998885 55997770 61597547 72797101 111995540 123195094 145594202 246390188 291188404 307987735 363985505 615975470 727971010 800768111 946362313 1231950940 1455942020 1601536222 1892724626 3203072444 3231071329 3785449252 4003840555 4731811565 6462142658 8007681110 9463623130 10409985443 12924285316 16015362220 16155356645 18927246260 20819970886 32310713290 35541784619 41639941772 42003927277 52049927215 64621426580 71083569238 84007854554 104099854430 142167138476 168015709108 177708923095 208199708860 210019636385 355417846190 420039272770 462043200047 546051054601 710835692380 840078545540 924086400094 1092102109202 1848172800188 2184204218404 2310216000235 2730255273005 4620432000470 5460510546010 6006561600611 9240864000940 10921021092020 12013123201222 24026246402444 30032808003055 60065616006110 120131232012220