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120112112000 = 275363111897
BaseRepresentation
bin110111111011100111…
…1010110000110000000
3102111000211010111020202
41233313033112012000
53431442200041000
6131102335224332
711451330051356
oct1576717260600
9374024114222
10120112112000
1146a37179571
121b3413780a8
13b4324abb2a
145b561ab7d6
1531cec4ddd5
hex1bf73d6180

120112112000 has 128 divisors (see below), whose sum is σ = 299127142080. Its totient is φ = 47964672000.

The previous prime is 120112111969. The next prime is 120112112017. The reversal of 120112112000 is 211211021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10090052 + ... + 10101948.

Almost surely, 2120112112000 is an apocalyptic number.

120112112000 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 120112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149563571040).

120112112000 is an abundant number, since it is smaller than the sum of its proper divisors (179015030080).

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

120112112000 is an equidigital number, since it uses as much as digits as its factorization.

120112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12557 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120112112000 its reverse (211211021), we get a palindrome (120323323021).

It can be divided in two parts, 1201121 and 12000, that added together give a palindrome (1213121).

The spelling of 120112112000 in words is "one hundred twenty billion, one hundred twelve million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 631 640 800 1000 1262 1600 2000 2524 3155 3200 4000 5048 6310 8000 10096 11897 12620 15775 16000 20192 23794 25240 31550 40384 47588 50480 59485 63100 78875 80768 95176 100960 118970 126200 157750 190352 201920 237940 252400 297425 315500 380704 403840 475880 504800 594850 631000 761408 951760 1009600 1189700 1262000 1487125 1522816 1903520 2019200 2379400 2524000 2974250 3807040 4758800 5048000 5948500 7507007 7614080 9517600 10096000 11897000 15014014 19035200 23794000 30028028 37535035 38070400 47588000 60056056 75070070 95176000 120112112 150140140 187675175 190352000 240224224 300280280 375350350 480448448 600560560 750700700 938375875 960896896 1201121120 1501401400 1876751750 2402242240 3002802800 3753503500 4804484480 6005605600 7507007000 12011211200 15014014000 24022422400 30028028000 60056056000 120112112000