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120300201231132 = 22313612379754581
BaseRepresentation
bin11011010110100110010010…
…110000101100001100011100
3120202221120211212100122220110
4123112212102300230030130
5111231444303003344012
61103505052143050020
734224255063432306
oct3326462260541434
9522846755318813
10120300201231132
113537103541442a
12115aab99ba0910
13521834cb54050
14219c7bcbd4976
15dd943e81373c
hex6d6992c2c31c

120300201231132 has 144 divisors (see below), whose sum is σ = 307416245232096. Its totient is φ = 36398380262400.

The previous prime is 120300201231113. The next prime is 120300201231143. The reversal of 120300201231132 is 231132102003021.

It is a junction number, because it is equal to n+sod(n) for n = 120300201231099 and 120300201231108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2204040082 + ... + 2204094662.

It is an arithmetic number, because the mean of its divisors is an integer number (2134835036334).

Almost surely, 2120300201231132 is an apocalyptic number.

120300201231132 is a gapful number since it is divisible by the number (12) 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 120300201231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153708122616048).

120300201231132 is an abundant number, since it is smaller than the sum of its proper divisors (187116044000964).

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

120300201231132 is a wasteful number, since it uses less digits than its factorization.

120300201231132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58520 (or 58457 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120300201231132 its reverse (231132102003021), we get a palindrome (351432303234153).

The spelling of 120300201231132 in words is "one hundred twenty trillion, three hundred billion, two hundred one million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 3721 3797 4758 7442 7594 9516 11163 11391 14884 15188 22326 22782 44652 45564 48373 49361 54581 96746 98722 109162 145119 148083 163743 193492 197444 218324 231617 290238 296166 327486 463234 580476 592332 654972 694851 709553 926468 1389702 1419106 2128659 2779404 2838212 3011021 3329441 4257318 6022042 6658882 8514636 9033063 9988323 12044084 13317764 14128637 18066126 19976646 28257274 36132252 39953292 42385911 43282733 56514548 84771822 86565466 129848199 169543644 173130932 183672281 203095901 207244057 259696398 367344562 406191802 414488114 519392796 551016843 609287703 621732171 734689124 812383604 828976228 1102033686 1218575406 1243464342 2204067372 2437150812 2486928684 2640246713 2694172741 5280493426 5388345482 7920740139 8082518223 10560986852 10776690964 12641887477 15841480278 16165036446 25283774954 31682960556 32330072892 37925662431 50567549908 75851324862 151702649724 164344537201 328689074402 493033611603 657378148804 771155136097 986067223206 1542310272194 1972134446412 2313465408291 3084620544388 4626930816582 9253861633164 10025016769261 20050033538522 30075050307783 40100067077044 60150100615566 120300201231132