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120100011120 = 24335127743541
BaseRepresentation
bin110111111011010000…
…1001011110001110000
3102110222222100200222000
41233312201023301300
53431431100323440
6131101224014000
711451122152005
oct1576641136160
9373888320860
10120100011120
1146a30363a41
121b339301300
13b42cb32c4b
145b5473b8ac
1531cdb5d730
hex1bf684bc70

120100011120 has 160 divisors (see below), whose sum is σ = 414011269440. Its totient is φ = 32000855040.

The previous prime is 120100011089. The next prime is 120100011149. The reversal of 120100011120 is 21110001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 2736550 + ... + 2780090.

It is an arithmetic number, because the mean of its divisors is an integer number (2587570434).

Almost surely, 2120100011120 is an apocalyptic number.

120100011120 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 120100011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207005634720).

120100011120 is an abundant number, since it is smaller than the sum of its proper divisors (293911258320).

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

120100011120 is a wasteful number, since it uses less digits than its factorization.

120100011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44840 (or 44828 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120100011120 its reverse (21110001021), we get a palindrome (141210012141).

The spelling of 120100011120 in words is "one hundred twenty billion, one hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1277 2160 2554 3831 5108 6385 7662 10216 11493 12770 15324 19155 20432 22986 25540 30648 34479 38310 43541 45972 51080 57465 61296 68958 76620 87082 91944 102160 114930 130623 137916 153240 172395 174164 183888 217705 229860 261246 275832 306480 344790 348328 391869 435410 459720 522492 551664 653115 689580 696656 783738 870820 919440 1044984 1175607 1306230 1379160 1567476 1741640 1959345 2089968 2351214 2612460 2758320 3134952 3483280 3918690 4702428 5224920 5878035 6269904 7837380 9404856 10449840 11756070 15674760 18809712 23512140 31349520 47024280 55601857 94048560 111203714 166805571 222407428 278009285 333611142 444814856 500416713 556018570 667222284 834027855 889629712 1000833426 1112037140 1334444568 1501250139 1668055710 2001666852 2224074280 2502083565 2668889136 3002500278 3336111420 4003333704 4448148560 5004167130 6005000556 6672222840 7506250695 8006667408 10008334260 12010001112 13344445680 15012501390 20016668520 24020002224 30025002780 40033337040 60050005560 120100011120