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12102024210042 = 23132397243728537
BaseRepresentation
bin1011000000011011100011…
…0110101010011001111010
31120211221102212121222012110
42300012320312222121322
53041234421144210132
641423332042553150
72356225304335014
oct260067066523172
946757385558173
1012102024210042
113946492192968
1214355535087b6
1369a2a66a2140
142dba537db1b4
1515ec04c011cc
hexb01b8daa67a

12102024210042 has 128 divisors (see below), whose sum is σ = 27491841667584. Its totient is φ = 3523510222848.

The previous prime is 12102024209999. The next prime is 12102024210047. The reversal of 12102024210042 is 24001242020121.

12102024210042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12102024210047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424067598 + ... + 424096134.

It is an arithmetic number, because the mean of its divisors is an integer number (214780013028).

Almost surely, 212102024210042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102024210042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13745920833792).

12102024210042 is an abundant number, since it is smaller than the sum of its proper divisors (15389817457542).

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

12102024210042 is a wasteful number, since it uses less digits than its factorization.

12102024210042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31112.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12102024210042 its reverse (24001242020121), we get a palindrome (36103266230163).

The spelling of 12102024210042 in words is "twelve trillion, one hundred two billion, twenty-four million, two hundred ten thousand, forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 97 138 194 291 299 582 598 897 1261 1794 2231 2437 2522 3783 4462 4874 6693 7311 7566 13386 14622 28537 29003 31681 56051 57074 58006 63362 85611 87009 95043 112102 168153 171222 174018 190086 236389 336306 370981 472778 656351 709167 728663 741962 1112943 1312702 1418334 1457326 1969053 2185989 2225886 2768089 3073057 3938106 4371978 5436947 5536178 6146114 8304267 8532563 9219171 10873894 16310841 16608534 17065126 18438342 25597689 32621682 35985157 51195378 63666047 69544669 70680311 71970314 107955471 127332094 139089338 141360622 190998141 208634007 212040933 215910942 381996282 417268014 424081866 827658611 904080697 1599527387 1655317222 1808161394 2482975833 2712242091 3199054774 4798582161 4965951666 5424484182 6745832893 9597164322 13491665786 20237498679 20793856031 40474997358 41587712062 62381568093 87695827609 124763136186 155154156539 175391655218 263087482827 310308313078 465462469617 526174965654 930924939234 2017004035007 4034008070014 6051012105021 12102024210042