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120042420032040 = 233511457198996121
BaseRepresentation
bin11011010010110110001101…
…110011011101001000101000
3120202000221110122112221022020
4123102312031303131020220
5111213233334012011130
61103150420525224440
734166531034413022
oct3322661563351050
9522027418487266
10120042420032040
1135281782677130
1211569037702120
1351c9c4a98ca4c
142190126bd3012
15dd28a381de10
hex6d2d8dcdd228

120042420032040 has 128 divisors (see below), whose sum is σ = 393725767144320. Its totient is φ = 29037513830400.

The previous prime is 120042420032011. The next prime is 120042420032053. The reversal of 120042420032040 is 40230024240021.

120042420032040 is digitally balanced in base 4, 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120042420032040.

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, 98894821 + ... + 100101300.

It is an arithmetic number, because the mean of its divisors is an integer number (3075982555815).

Almost surely, 2120042420032040 is an apocalyptic number.

120042420032040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120042420032040 is an abundant number, since it is smaller than the sum of its proper divisors (273683347112280).

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

120042420032040 is a wasteful number, since it uses less digits than its factorization.

120042420032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198996603 (or 198996599 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 120042420032040 its reverse (40230024240021), we get a palindrome (160272444272061).

The spelling of 120042420032040 in words is "one hundred twenty trillion, forty-two billion, four hundred twenty million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 457 660 914 1320 1371 1828 2285 2742 3656 4570 5027 5484 6855 9140 10054 10968 13710 15081 18280 20108 25135 27420 30162 40216 50270 54840 60324 75405 100540 120648 150810 201080 301620 603240 198996121 397992242 596988363 795984484 994980605 1193976726 1591968968 1989961210 2188957331 2387953452 2984941815 3979922420 4377914662 4775906904 5969883630 6566871993 7959844840 8755829324 10944786655 11939767260 13133743986 17511658648 21889573310 23879534520 26267487972 32834359965 43779146620 52534975944 65668719930 87558293240 90941227297 131337439860 181882454594 262674879720 272823681891 363764909188 454706136485 545647363782 727529818376 909412272970 1000353500267 1091294727564 1364118409455 1818824545940 2000707000534 2182589455128 2728236818910 3001060500801 3637649091880 4001414001068 5001767501335 5456473637820 6002121001602 8002828002136 10003535002670 10912947275640 12004242003204 15005302504005 20007070005340 24008484006408 30010605008010 40014140010680 60021210016020 120042420032040