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12100100200320 = 273511572921411
BaseRepresentation
bin1011000000010100011000…
…1011001001011110000000
31120211202110210021011001010
42300011012023021132000
53041222001122402240
641422413112440520
72356126522456146
oct260050613113600
946752423234033
1012100100200320
113945695128990
1214350b70a9140
1369a05abb3052
142db910083596
1515eb40d4e280
hexb01462c9780

12100100200320 has 128 divisors (see below), whose sum is σ = 42075348497280. Its totient is φ = 2933357619200.

The previous prime is 12100100200277. The next prime is 12100100200327. The reversal of 12100100200320 is 2300200100121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12100100200296 and 12100100200305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100100200327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286439586 + ... + 286481825.

It is an arithmetic number, because the mean of its divisors is an integer number (328713660135).

Almost surely, 212100100200320 is an apocalyptic number.

12100100200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100100200320 is an abundant number, since it is smaller than the sum of its proper divisors (29975248296960).

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

12100100200320 is a wasteful number, since it uses less digits than its factorization.

12100100200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572921444 (or 572921432 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12100100200320 its reverse (2300200100121), we get a palindrome (14400300300441).

The spelling of 12100100200320 in words is "twelve trillion, one hundred billion, one hundred million, two hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 572921411 1145842822 1718764233 2291685644 2864607055 3437528466 4583371288 5729214110 6302135521 6875056932 8593821165 9166742576 11458428220 12604271042 13750113864 17187642330 18333485152 18906406563 22916856440 25208542084 27500227728 31510677605 34375284660 36666970304 37812813126 45833712880 50417084168 55000455456 63021355210 68750569320 73333940608 75625626252 91667425760 94532032815 100834168336 110000910912 126042710420 137501138640 151251252504 183334851520 189064065630 201668336672 220001821824 252085420840 275002277280 302502505008 366669703040 378128131260 403336673344 504170841680 550004554560 605005010016 756256262520 806673346688 1008341683360 1100009109120 1210010020032 1512512525040 2016683366720 2420020040064 3025025050080 4033366733440 6050050100160 12100100200320