Search a number
-
+
120000101001220 = 225111723476354293
BaseRepresentation
bin11011010010001110110011…
…011001001010100000000100
3120201212220020100211102120101
4123102032303121022200010
5111212040201324014340
61103115141345413444
734163502240526306
oct3322166331124004
9521786210742511
10120000101001220
11352658366899a0
12115609a703a284
1351c5c653310cb
14218c070641976
15dd1728456c9a
hex6d23b364a804

120000101001220 has 144 divisors (see below), whose sum is σ = 292045481840448. Its totient is φ = 41067615447040.

The previous prime is 120000101001199. The next prime is 120000101001239. The reversal of 120000101001220 is 22100101000021.

120000101001220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120000101001197 and 120000101001206.

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, 2210204394 + ... + 2210258686.

It is an arithmetic number, because the mean of its divisors is an integer number (2028093623892).

Almost surely, 2120000101001220 is an apocalyptic number.

120000101001220 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 120000101001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146022740920224).

120000101001220 is an abundant number, since it is smaller than the sum of its proper divisors (172045380839228).

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

120000101001220 is a wasteful number, since it uses less digits than its factorization.

120000101001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89110 (or 89091 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120000101001220 its reverse (22100101000021), we get a palindrome (142100202001241).

The spelling of 120000101001220 in words is "one hundred twenty trillion, one hundred one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2890 3179 3740 5780 6358 12716 15895 31790 34763 54293 63580 69526 108586 139052 173815 217172 271465 347630 382393 542930 590971 597223 695260 764786 922981 1085860 1181942 1194446 1529572 1845962 1911965 2363884 2388892 2954855 2986115 3691924 3823930 4614905 5909710 5972230 6500681 7647860 9229810 10046507 10152791 11819420 11944460 13001362 15690677 18459620 20093014 20305582 26002724 31381354 32503405 40186028 40611164 50232535 50763955 62762708 65006810 78453385 100465070 101527910 110511577 130013620 156906770 172597447 200930140 203055820 221023154 313813540 345194894 442046308 552557885 690389788 862987235 1105115770 1725974470 1887387559 2210231540 3451948940 3774775118 7549550236 9436937795 18873875590 20761263149 32085588503 37747751180 41522526298 64171177006 83045052596 103806315745 128342354012 160427942515 207612631490 320855885030 352941473533 415225262980 545455004551 641711770060 705882947066 1090910009102 1411765894132 1764707367665 2181820018204 2727275022755 3529414735330 5454550045510 6000005050061 7058829470660 10909100091020 12000010100122 24000020200244 30000025250305 60000050500610 120000101001220