Search a number
-
+
120120122021120 = 2851317341726921
BaseRepresentation
bin11011010011111110100101…
…001101000001010100000000
3120202022101000211112221221122
4123103332211031001110000
5111221022002214133440
61103250231112411412
734205251413416234
oct3323764515012400
9522271024487848
10120120122021120
11353017263a0631
12115801019a6b68
135204381997b90
142193bb869a5c4
15dd49001b07b5
hex6d3fa5341500

120120122021120 has 144 divisors (see below), whose sum is σ = 311649033587472. Its totient is φ = 44095673794560.

The previous prime is 120120122021111. The next prime is 120120122021171. The reversal of 120120122021120 is 21120221021021.

It can be written as a sum of positive squares in 8 ways, for example, as 1259889512704 + 118860232508416 = 1122448^2 + 10902304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17984741 + ... + 23742180.

It is an arithmetic number, because the mean of its divisors is an integer number (2164229399913).

Almost surely, 2120120122021120 is an apocalyptic number.

120120122021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120122021120 is an abundant number, since it is smaller than the sum of its proper divisors (191528911566352).

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

120120122021120 is a wasteful number, since it uses less digits than its factorization.

120120122021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41727128 (or 41727114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120120122021120 its reverse (21120221021021), we get a palindrome (141240343042141).

The spelling of 120120122021120 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 173 208 256 260 320 346 416 520 640 692 832 865 1040 1280 1384 1664 1730 2080 2249 2768 3328 3460 4160 4498 5536 6920 8320 8996 11072 11245 13840 16640 17992 22144 22490 27680 35984 44288 44980 55360 71968 89960 110720 143936 179920 221440 287872 359840 575744 719680 1439360 2878720 41726921 83453842 166907684 208634605 333815368 417269210 542449973 667630736 834538420 1084899946 1335261472 1669076840 2169799892 2670522944 2712249865 3338153680 4339599784 5341045888 5424499730 6676307360 7218757333 8679199568 10682091776 10848999460 13352614720 14437514666 17358399136 21697998920 26705229440 28875029332 34716798272 36093786665 43395997840 53410458880 57750058664 69433596544 72187573330 86791995680 93843845329 115500117328 138867193088 144375146660 173583991360 187687690658 231000234656 288750293320 347167982720 375375381316 462000469312 469219226645 577500586640 694335965440 750750762632 924000938624 938438453290 1155001173280 1501501525264 1848001877248 1876876906580 2310002346560 3003003050528 3753753813160 4620004693120 6006006101056 7507507626320 9240009386240 12012012202112 15015015252640 24024024404224 30030030505280 60060061010560 120120122021120