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12120122200120 = 23511293911242867
BaseRepresentation
bin1011000001011110111110…
…0101000001000000111000
31120220200011011012010100021
42300113233211001000320
53042034002240400440
641435523545420224
72360435632611334
oct260275745010070
946820134163307
1012120122200120
11395312a013760
121438b6449a674
1369bbcbcc13cc
142dc88d2547c4
151604139b384a
hexb05ef941038

12120122200120 has 128 divisors (see below), whose sum is σ = 30783227558400. Its totient is φ = 4254235148800.

The previous prime is 12120122200117. The next prime is 12120122200127. The reversal of 12120122200120 is 2100222102121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12120122200094 and 12120122200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120122200127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49782927 + ... + 50025793.

It is an arithmetic number, because the mean of its divisors is an integer number (240493965300).

Almost surely, 212120122200120 is an apocalyptic number.

12120122200120 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 12120122200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391613779200).

12120122200120 is an abundant number, since it is smaller than the sum of its proper divisors (18663105358280).

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

12120122200120 is a wasteful number, since it uses less digits than its factorization.

12120122200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246829 (or 246825 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12120122200120 its reverse (2100222102121), we get a palindrome (14220344302241).

The spelling of 12120122200120 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 3911 6380 7822 12760 15644 19555 31288 39110 43021 78220 86042 113419 156440 172084 215105 226838 242867 344168 430210 453676 485734 567095 860420 907352 971468 1134190 1214335 1247609 1720840 1942936 2268380 2428670 2495218 2671537 4536760 4857340 4990436 5343074 6238045 7043143 9714680 9980872 10686148 12476090 13357685 14086286 21372296 24952180 26715370 28172572 35215715 49904360 53430740 56345144 70431430 77474573 106861480 140862860 154949146 281725720 309898292 387372865 619796584 774745730 949852837 1549491460 1899705674 3098982920 3799411348 4749264185 7598822696 9498528370 10448381207 18997056740 20896762414 27545732273 37994113480 41793524828 52241906035 55091464546 83587049656 104483812070 110182929092 137728661365 208967624140 220365858184 275457322730 303003055003 417935248280 550914645460 606006110006 1101829290920 1212012220012 1515015275015 2424024440024 3030030550030 6060061100060 12120122200120