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124112020320 = 2532588797169
BaseRepresentation
bin111001110010110100…
…1110010001101100000
3102212100120122212221100
41303211221302031200
54013140134122240
6133003303154400
711652416523561
oct1634551621540
9385316585840
10124112020320
11486a9aaa922
1220078a45a00
13b91c09a8a2
1460154da168
153365ea6e30
hex1ce5a72360

124112020320 has 144 divisors (see below), whose sum is σ = 424014121440. Its totient is φ = 33058885632.

The previous prime is 124112020303. The next prime is 124112020397. The reversal of 124112020320 is 23020211421.

It is a happy number.

124112020320 is a `hidden beast` number, since 12 + 411 + 20 + 203 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 124112020293 and 124112020302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228696 + ... + 1325864.

It is an arithmetic number, because the mean of its divisors is an integer number (2944542510).

Almost surely, 2124112020320 is an apocalyptic number.

124112020320 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 124112020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212007060720).

124112020320 is an abundant number, since it is smaller than the sum of its proper divisors (299902101120).

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

124112020320 is a wasteful number, since it uses less digits than its factorization.

124112020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98077 (or 98066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 124112020320 its reverse (23020211421), we get a palindrome (147132231741).

The spelling of 124112020320 in words is "one hundred twenty-four billion, one hundred twelve million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 887 1440 1774 2661 3548 4435 5322 7096 7983 8870 10644 13305 14192 15966 17740 21288 26610 28384 31932 35480 39915 42576 53220 63864 70960 79830 85152 97169 106440 127728 141920 159660 194338 212880 255456 291507 319320 388676 425760 485845 583014 638640 777352 874521 971690 1166028 1277280 1457535 1554704 1749042 1943380 2332056 2915070 3109408 3498084 3886760 4372605 4664112 5830140 6996168 7773520 8745210 9328224 11660280 13992336 15547040 17490420 23320560 27984672 34980840 46641120 69961680 86188903 139923360 172377806 258566709 344755612 430944515 517133418 689511224 775700127 861889030 1034266836 1292833545 1379022448 1551400254 1723778060 2068533672 2585667090 2758044896 3102800508 3447556120 3878500635 4137067344 5171334180 6205601016 6895112240 7757001270 8274134688 10342668360 12411202032 13790224480 15514002540 20685336720 24822404064 31028005080 41370673440 62056010160 124112020320