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12231000120120 = 23351271390757709
BaseRepresentation
bin1011000111111100000001…
…1010101101101100111000
31121022021100102120001112220
42301333000122231230320
53100343042012320440
642002502140204040
72401442404436325
oct261770032555470
947267312501486
1012231000120120
113996157785091
121456549239620
136a94bc3538b2
14303daac87b4c
15163252bc58d0
hexb1fc06adb38

12231000120120 has 128 divisors (see below), whose sum is σ = 36985221734400. Its totient is φ = 3235629390336.

The previous prime is 12231000120107. The next prime is 12231000120187. The reversal of 12231000120120 is 2102100013221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12231000120120.

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 31 ways as a sum of consecutive naturals, for example, 211913826 + ... + 211971534.

It is an arithmetic number, because the mean of its divisors is an integer number (288947044800).

Almost surely, 212231000120120 is an apocalyptic number.

12231000120120 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 12231000120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492610867200).

12231000120120 is an abundant number, since it is smaller than the sum of its proper divisors (24754221614280).

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

12231000120120 is a wasteful number, since it uses less digits than its factorization.

12231000120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71757 (or 71753 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12231000120120 its reverse (2102100013221), we get a palindrome (14333100133341).

The spelling of 12231000120120 in words is "twelve trillion, two hundred thirty-one billion, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 13907 15240 27814 41721 55628 57709 69535 83442 111256 115418 139070 166884 173127 208605 230836 278140 288545 333768 346254 417210 461672 556280 577090 692508 834420 865635 1154180 1385016 1668840 1731270 1766189 2308360 3462540 3532378 5298567 6925080 7064756 7329043 8830945 10597134 14129512 14658086 17661890 21194268 21987129 26492835 29316172 35323780 36645215 42388536 43974258 52985670 58632344 70647560 73290430 87948516 105971340 109935645 146580860 175897032 211942680 219871290 293161720 439742580 802559063 879485160 1605118126 2407677189 3210236252 4012795315 4815354378 6420472504 8025590630 9630708756 12038385945 16051181260 19261417512 24076771890 32102362520 48153543780 96307087560 101925001001 203850002002 305775003003 407700004004 509625005005 611550006006 815400008008 1019250010010 1223100012012 1528875015015 2038500020020 2446200024024 3057750030030 4077000040040 6115500060060 12231000120120