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12120320101002 = 23233733745715413
BaseRepresentation
bin1011000001011111101101…
…0111111100101010001010
31120220200122221120112022120
42300113323113330222022
53042034403421213002
641435555335232110
72360443555004001
oct260277327745212
946820587515276
1012120320101002
1139532207a2603
121438bba818636
1369bc30cc2119
142dc8ab64bc38
15160426055cbc
hexb05fb5fca8a

12120320101002 has 128 divisors (see below), whose sum is σ = 26114013080064. Its totient is φ = 3740402147328.

The previous prime is 12120320100991. The next prime is 12120320101009. The reversal of 12120320101002 is 20010102302121.

It is not an unprimeable number, because it can be changed into a prime (12120320101009) 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, 786362248 + ... + 786377660.

It is an arithmetic number, because the mean of its divisors is an integer number (204015727188).

Almost surely, 212120320101002 is an apocalyptic number.

12120320101002 is an abundant number, since it is smaller than the sum of its proper divisors (13993692979062).

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

12120320101002 is a wasteful number, since it uses less digits than its factorization.

12120320101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16272.

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

Adding to 12120320101002 its reverse (20010102302121), we get a palindrome (32130422403123).

The spelling of 12120320101002 in words is "twelve trillion, one hundred twenty billion, three hundred twenty million, one hundred one thousand, two".

Divisors: 1 2 3 6 23 37 46 69 74 111 138 222 337 457 674 851 914 1011 1371 1702 2022 2553 2742 5106 7751 10511 12469 15413 15502 16909 21022 23253 24938 30826 31533 33818 37407 46239 46506 50727 63066 74814 92478 101454 154009 286787 308018 354499 388907 462027 570281 573574 708998 777814 860361 924054 1063497 1140562 1166721 1710843 1720722 2126994 2333442 3421686 3542207 5194181 5698333 7043741 7084414 10388362 10626621 11396666 13116463 14087482 15582543 17094999 21131223 21253242 26232926 31165086 34189998 39349389 42262446 78698778 119466163 131061659 162006043 192184697 238932326 260618417 262123318 324012086 358398489 384369394 393184977 486018129 521236834 576554091 716796978 781855251 786369954 972036258 1153108182 1563710502 2373740717 4420248031 4747481434 5994223591 7121222151 8840496062 11988447182 13260744093 14242444302 17982670773 26521488186 35965341546 54596036491 87828406529 109192072982 163788109473 175656813058 263485219587 327576218946 526970439174 2020053350167 4040106700334 6060160050501 12120320101002