Search a number
-
+
20120112012420 = 22325757727674771
BaseRepresentation
bin1001001001100100101000…
…01000010001110010000100
32122020110112012101221022100
410210302110020101302010
510114121442133344140
6110443015111232100
74144426063210050
oct444622410216204
978213465357270
1020120112012420
116457989778802
12230b4b4978630
13b2c41a759434
144d7b66400c60
1524d584ab5530
hex124c94211c84

20120112012420 has 144 divisors (see below), whose sum is σ = 69870607567488. Its totient is φ = 4590912245760.

The previous prime is 20120112012391. The next prime is 20120112012431. The reversal of 20120112012420 is 2421021102102.

20120112012420 is a `hidden beast` number, since 2 + 0 + 120 + 1 + 120 + 1 + 2 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20120112012393 and 20120112012402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13110366 + ... + 14564405.

It is an arithmetic number, because the mean of its divisors is an integer number (485212552552).

Almost surely, 220120112012420 is an apocalyptic number.

20120112012420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120112012420 is an abundant number, since it is smaller than the sum of its proper divisors (49750495555068).

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

20120112012420 is a wasteful number, since it uses less digits than its factorization.

20120112012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27675370 (or 27675365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20120112012420 its reverse (2421021102102), we get a palindrome (22541133114522).

The spelling of 20120112012420 in words is "twenty trillion, one hundred twenty billion, one hundred twelve million, twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 577 630 1154 1260 1731 2308 2885 3462 4039 5193 5770 6924 8078 8655 10386 11540 12117 16156 17310 20195 20772 24234 25965 34620 36351 40390 48468 51930 60585 72702 80780 103860 121170 145404 181755 242340 363510 727020 27674771 55349542 83024313 110699084 138373855 166048626 193723397 249072939 276747710 332097252 387446794 415121565 498145878 553495420 581170191 774893588 830243130 968616985 996291756 1162340382 1245364695 1660486260 1743510573 1937233970 2324680764 2490729390 2905850955 3487021146 3874467940 4981458780 5811701910 6974042292 8717552865 11623403820 15968342867 17435105730 31936685734 34870211460 47905028601 63873371468 79841714335 95810057202 111778400069 143715085803 159683428670 191620114404 223556800138 239525143005 287430171606 319366857340 335335200207 447113600276 479050286010 558892000345 574860343212 670670400414 718575429015 958100572020 1006005600621 1117784000690 1341340800828 1437150858030 1676676001035 2012011201242 2235568001380 2874301716060 3353352002070 4024022402484 5030028003105 6706704004140 10060056006210 20120112012420