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120133223000 = 2353729358573
BaseRepresentation
bin110111111100001111…
…1111000001001011000
3102111002021212001002122
41233320133320021120
53432013101114000
6131104411520412
711452004355440
oct1577037701130
9374067761078
10120133223000
1146a4808857a
121b348459108
13b436990b4b
145b58d05120
1531d1a1e085
hex1bf87f8258

120133223000 has 128 divisors (see below), whose sum is σ = 322372552320. Its totient is φ = 41047257600.

The previous prime is 120133222901. The next prime is 120133223027. The reversal of 120133223000 is 322331021.

120133223000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 120133223000.

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, 2021714 + ... + 2080286.

It is an arithmetic number, because the mean of its divisors is an integer number (2518535565).

Almost surely, 2120133223000 is an apocalyptic number.

120133223000 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 120133223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161186276160).

120133223000 is an abundant number, since it is smaller than the sum of its proper divisors (202239329320).

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

120133223000 is a wasteful number, since it uses less digits than its factorization.

120133223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58894 (or 58880 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 120133223000 its reverse (322331021), we get a palindrome (120455554021).

The spelling of 120133223000 in words is "one hundred twenty billion, one hundred thirty-three million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 293 350 500 586 700 875 1000 1172 1400 1465 1750 2051 2344 2930 3500 4102 5860 7000 7325 8204 10255 11720 14650 16408 20510 29300 36625 41020 51275 58573 58600 73250 82040 102550 117146 146500 205100 234292 256375 292865 293000 410011 410200 468584 512750 585730 820022 1025500 1171460 1464325 1640044 2050055 2051000 2342920 2928650 3280088 4100110 5857300 7321625 8200220 10250275 11714600 14643250 16400440 17161889 20500550 29286500 34323778 41001100 51251375 58573000 68647556 82002200 85809445 102502750 120133223 137295112 171618890 205005500 240266446 343237780 410011000 429047225 480532892 600666115 686475560 858094450 961065784 1201332230 1716188900 2145236125 2402664460 3003330575 3432377800 4290472250 4805328920 6006661150 8580944500 12013322300 15016652875 17161889000 24026644600 30033305750 60066611500 120133223000