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12101111120 = 2457197229479
BaseRepresentation
bin10110100010100100…
…00100110101010000
31011020100101010201202
423101102010311100
5144240341023440
65320440450332
7605606514230
oct132122046520
934210333652
1012101111120
11514a84198a
1224187799a8
1311ab0a6ca7
1482b21bcc0
154ac594615
hex2d1484d50

12101111120 has 160 divisors (see below), whose sum is σ = 32526489600. Its totient is φ = 4101285888.

The previous prime is 12101111119. The next prime is 12101111129. The reversal of 12101111120 is 2111110121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25263041 + ... + 25263519.

It is an arithmetic number, because the mean of its divisors is an integer number (203290560).

Almost surely, 212101111120 is an apocalyptic number.

12101111120 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 12101111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263244800).

12101111120 is an abundant number, since it is smaller than the sum of its proper divisors (20425378480).

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

12101111120 is a wasteful number, since it uses less digits than its factorization.

12101111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12101111120 its reverse (2111110121), we get a palindrome (14212221241).

Subtracting from 12101111120 its reverse (2111110121), we obtain a palindrome (9990000999).

The spelling of 12101111120 in words is "twelve billion, one hundred one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 229 280 394 458 479 560 788 916 958 985 1145 1379 1576 1603 1832 1916 1970 2290 2395 2758 3152 3206 3353 3664 3832 3940 4580 4790 5516 6412 6706 6895 7664 7880 8015 9160 9580 11032 12824 13412 13790 15760 16030 16765 18320 19160 22064 25648 26824 27580 32060 33530 38320 45113 53648 55160 64120 67060 90226 94363 109691 110320 128240 134120 180452 188726 219382 225565 268240 315791 360904 377452 438764 451130 471815 548455 631582 660541 721808 754904 767837 877528 902260 943630 1096910 1263164 1321082 1509808 1535674 1578955 1755056 1804520 1887260 2193820 2526328 2642164 3071348 3157910 3302705 3609040 3774520 3839185 4387640 5052656 5284328 6142696 6315820 6605410 7549040 7678370 8775280 10568656 12285392 12631640 13210820 15356740 21609127 25263280 26421640 30713480 43218254 52843280 61426960 86436508 108045635 151263889 172873016 216091270 302527778 345746032 432182540 605055556 756319445 864365080 1210111112 1512638890 1728730160 2420222224 3025277780 6050555560 12101111120