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120240510152 = 23729718911717
BaseRepresentation
bin110111111111011100…
…1001001010011001000
3102111100202201210101212
41233332321021103020
53432223032311102
6131123203232252
711454446321120
oct1577671112310
9374322653355
10120240510152
1146aa26a6a44
121b378378688
13b452c86479
145b69271c80
1531db162c52
hex1bfee494c8

120240510152 has 128 divisors (see below), whose sum is σ = 273357504000. Its totient is φ = 48498616320.

The previous prime is 120240510139. The next prime is 120240510193. The reversal of 120240510152 is 251015042021.

It is a super-2 number, since 2×1202405101522 (a number of 23 digits) contains 22 as substring.

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, 10256198 + ... + 10267914.

It is an arithmetic number, because the mean of its divisors is an integer number (2135605500).

Almost surely, 2120240510152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120240510152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136678752000).

120240510152 is an abundant number, since it is smaller than the sum of its proper divisors (153116993848).

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

120240510152 is a wasteful number, since it uses less digits than its factorization.

120240510152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 120240510152 its reverse (251015042021), we get a palindrome (371255552173).

The spelling of 120240510152 in words is "one hundred twenty billion, two hundred forty million, five hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 71 89 116 142 178 203 232 284 356 406 497 568 623 712 812 994 1246 1624 1988 2059 2492 2581 3976 4118 4984 5162 6319 8236 10324 11717 12638 14413 16472 18067 20648 23434 25276 28826 36134 44233 46868 50552 57652 72268 82019 88466 93736 115304 144536 164038 176932 183251 328076 339793 353864 366502 656152 679586 733004 831907 1042813 1282757 1359172 1466008 1663814 2085626 2378551 2565514 2718344 3327628 4171252 4757102 5131028 5823349 6655256 7299691 8342504 9514204 10262056 11646698 14599382 19028408 23293396 24125303 29198764 30241577 46586792 48250606 58397528 60483154 74039723 96501212 120966308 148079446 168877121 193002424 211691039 241932616 296158892 337754242 423382078 518278061 592317784 675508484 846764156 1036556122 1351016968 1693528312 2073112244 2147151967 4146224488 4294303934 8588607868 15030063769 17177215736 30060127538 60120255076 120240510152