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12120012011100 = 2235272824490613
BaseRepresentation
bin1011000001011110100100…
…0000101011011001011100
31120220122212110211221102110
42300113221000223121130
53042033241033323400
641435505011554020
72360433124201500
oct260275100533134
946818773757373
1012120012011100
1139530828a3054
121438b335bb910
1369bbb2220cc6
142dc87c770300
15160408e99e50
hexb05e902b65c

12120012011100 has 108 divisors (see below), whose sum is σ = 40792497618264. Its totient is φ = 2770288456320.

The previous prime is 12120012011099. The next prime is 12120012011113. The reversal of 12120012011100 is 111021002121.

It is a super-2 number, since 2×121200120111002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 412230607 + ... + 412260006.

Almost surely, 212120012011100 is an apocalyptic number.

12120012011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120012011100 is an abundant number, since it is smaller than the sum of its proper divisors (28672485607164).

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

12120012011100 is a wasteful number, since it uses less digits than its factorization.

12120012011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824490644 (or 824490630 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12120012011100 its reverse (111021002121), we get a palindrome (12231033013221).

The spelling of 12120012011100 in words is "twelve trillion, one hundred twenty billion, twelve million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 824490613 1648981226 2473471839 3297962452 4122453065 4946943678 5771434291 8244906130 9893887356 11542868582 12367359195 16489812260 17314302873 20612265325 23085737164 24734718390 28857171455 34628605746 40400040037 41224530650 49469436780 57714342910 61836795975 69257211492 80800080074 82449061300 86571514365 115428685820 121200120111 123673591950 144285857275 161600160148 173143028730 202000200185 242400240222 247347183900 288571714550 346286057460 404000400370 432857571825 484800480444 577143429100 606000600555 808000800740 865715143650 1010001000925 1212001201110 1731430287300 2020002001850 2424002402220 3030003002775 4040004003700 6060006005550 12120012011100