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120300211020 = 2235112154310739
BaseRepresentation
bin111000000001001110…
…0111000101101001100
3102111111221001220121010
41300002130320231030
53432333323223040
6131133135005220
711456102631123
oct1600234705514
9374457056533
10120300211020
1147023373100
121b394369810
13b46245a222
145b73172aba
1531e1506e80
hex1c02738b4c

120300211020 has 144 divisors (see below), whose sum is σ = 370520720640. Its totient is φ = 29142072960.

The previous prime is 120300211019. The next prime is 120300211037. The reversal of 120300211020 is 20112003021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120300210987 and 120300211005.

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, 11196811 + ... + 11207549.

It is an arithmetic number, because the mean of its divisors is an integer number (2573060560).

Almost surely, 2120300211020 is an apocalyptic number.

120300211020 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 120300211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185260360320).

120300211020 is an abundant number, since it is smaller than the sum of its proper divisors (250220509620).

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

120300211020 is a wasteful number, since it uses less digits than its factorization.

120300211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120300211020 its reverse (20112003021), we get a palindrome (140412214041).

The spelling of 120300211020 in words is "one hundred twenty billion, three hundred million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1543 1815 2420 3086 3630 4629 6172 7260 7715 9258 10739 15430 16973 18516 21478 23145 30860 32217 33946 42956 46290 50919 53695 64434 67892 84865 92580 101838 107390 118129 128868 161085 169730 186703 203676 214780 236258 254595 322170 339460 354387 373406 472516 509190 560109 590645 644340 708774 746812 933515 1018380 1120218 1181290 1299419 1417548 1771935 1867030 2240436 2362580 2598838 2800545 3543870 3734060 3898257 5197676 5601090 6497095 7087740 7796514 11202180 12994190 15593028 16570277 19491285 25988380 33140554 38982570 49710831 66281108 77965140 82851385 99421662 165702770 182273047 198843324 248554155 331405540 364546094 497108310 546819141 729092188 911365235 994216620 1093638282 1822730470 2005003517 2187276564 2734095705 3645460940 4010007034 5468191410 6015010551 8020014068 10025017585 10936382820 12030021102 20050035170 24060042204 30075052755 40100070340 60150105510 120300211020