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120142142120 = 235711133000553
BaseRepresentation
bin110111111100100000…
…1111001101010101000
3102111002220122011211102
41233321001321222220
53432022342021440
6131105331020532
711452143233630
oct1577101715250
9374086564742
10120142142120
1146a5211a650
121b34b43a748
13b438794730
145b5a1876c0
1531d26d1b15
hex1bf9079aa8

120142142120 has 128 divisors (see below), whose sum is σ = 362947011840. Its totient is φ = 34566359040.

The previous prime is 120142142117. The next prime is 120142142171. The reversal of 120142142120 is 21241241021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120142142092 and 120142142101.

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, 1460237 + ... + 1540316.

It is an arithmetic number, because the mean of its divisors is an integer number (2835523530).

Almost surely, 2120142142120 is an apocalyptic number.

120142142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120142142120 is an abundant number, since it is smaller than the sum of its proper divisors (242804869720).

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

120142142120 is a wasteful number, since it uses less digits than its factorization.

120142142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000595 (or 3000591 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 120142142120 its reverse (21241241021), we get a palindrome (141383383141).

It can be divided in two parts, 120142 and 142120, that added together give a palindrome (262262).

The spelling of 120142142120 in words is "one hundred twenty billion, one hundred forty-two million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 3000553 6001106 12002212 15002765 21003871 24004424 30005530 33006083 39007189 42007742 60011060 66012166 78014378 84015484 105019355 120022120 132024332 156028756 165030415 168030968 195035945 210038710 231042581 264048664 273050323 312057512 330060830 390071890 420077420 429079079 462085162 546100646 660121660 780143780 840154840 858158158 924170324 1092201292 1155212905 1320243320 1365251615 1560287560 1716316316 1848340648 2145395395 2184402584 2310425810 2730503230 3003553553 3432632632 4290790790 4620851620 5461006460 6007107106 8581581580 9241703240 10922012920 12014214212 15017767765 17163163160 24028428424 30035535530 60071071060 120142142120