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12120202011120 = 2435717474129597
BaseRepresentation
bin1011000001011111010001…
…0101011110000111110000
31120220200100201100221110020
42300113310111132013300
53042034133203323440
641435535520203440
72360440622156430
oct260276425360760
946820321327406
1012120202011120
113953170075965
121438b87169580
1369bc126b6758
142dc899aac2c0
1516041a9cb3d0
hexb05f455e1f0

12120202011120 has 160 divisors (see below), whose sum is σ = 42964734033408. Its totient is φ = 2768745452544.

The previous prime is 12120202011091. The next prime is 12120202011187. The reversal of 12120202011120 is 2111020202121.

12120202011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×121202020111205 (a number of 67 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120202011120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870162 + ... + 4999758.

Almost surely, 212120202011120 is an apocalyptic number.

12120202011120 is a gapful number since it is divisible by the number (10) 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 12120202011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21482367016704).

12120202011120 is an abundant number, since it is smaller than the sum of its proper divisors (30844532022288).

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

12120202011120 is a wasteful number, since it uses less digits than its factorization.

12120202011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131367 (or 4131361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12120202011120 its reverse (2111020202121), we get a palindrome (14231222213241).

The spelling of 12120202011120 in words is "twelve trillion, one hundred twenty billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1747 3494 5241 6988 8735 10482 12229 13976 17470 20964 24458 26205 27952 34940 36687 41928 48916 52410 61145 69880 73374 83856 97832 104820 122290 139760 146748 183435 195664 209640 244580 293496 366870 419280 489160 586992 733740 978320 1467480 2934960 4129597 8259194 12388791 16518388 20647985 24777582 28907179 33036776 41295970 49555164 57814358 61943955 66073552 82591940 86721537 99110328 115628716 123887910 144535895 165183880 173443074 198220656 231257432 247775820 289071790 330367760 346886148 433607685 462514864 495551640 578143580 693772296 867215370 991103280 1156287160 1387544592 1734430740 2312574320 3468861480 6937722960 7214405959 14428811918 21643217877 28857623836 36072029795 43286435754 50500841713 57715247672 72144059590 86572871508 101001683426 108216089385 115430495344 144288119180 151502525139 173145743016 202003366852 216432178770 252504208565 288576238360 303005050278 346291486032 404006733704 432864357540 505008417130 577152476720 606010100556 757512625695 808013467408 865728715080 1010016834260 1212020201112 1515025251390 1731457430160 2020033668520 2424040402224 3030050502780 4040067337040 6060101005560 12120202011120