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120120202020 = 223571322000037
BaseRepresentation
bin110111111011110111…
…0001101001100100100
3102111001101100111200010
41233313232031030210
53432001232431040
6131103224450220
711451455604420
oct1576756151444
9374041314603
10120120202020
1146a407a4735
121b344019970
13b434082220
145b572b5b80
1531d07eae80
hex1bf7b8d324

120120202020 has 96 divisors (see below), whose sum is σ = 413952715008. Its totient is φ = 25344041472.

The previous prime is 120120202009. The next prime is 120120202061. The reversal of 120120202020 is 20202021021.

It is a super-2 number, since 2×1201202020202 (a number of 23 digits) contains 22 as substring.

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

120120202020 is a modest number, since divided by 202020 gives 120120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 120120201987 and 120120202005.

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, 10994559 + ... + 11005478.

It is an arithmetic number, because the mean of its divisors is an integer number (4312007448).

Almost surely, 2120120202020 is an apocalyptic number.

120120202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120202020 is an abundant number, since it is smaller than the sum of its proper divisors (293832512988).

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

120120202020 is a wasteful number, since it uses less digits than its factorization.

120120202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22000069 (or 22000067 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120120202020 its reverse (20202021021), we get a palindrome (140322223041).

The spelling of 120120202020 in words is "one hundred twenty billion, one hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 22000037 44000074 66000111 88000148 110000185 132000222 154000259 220000370 264000444 286000481 308000518 330000555 440000740 462000777 572000962 616001036 660001110 770001295 858001443 924001554 1144001924 1320002220 1430002405 1540002590 1716002886 1848003108 2002003367 2310003885 2860004810 3080005180 3432005772 4004006734 4290007215 4620007770 5720009620 6006010101 8008013468 8580014430 9240015540 10010016835 12012020202 17160028860 20020033670 24024040404 30030050505 40040067340 60060101010 120120202020