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124140212201000 = 23531925447256757
BaseRepresentation
bin11100001110011110100101…
…010000000010011000101000
3121021112200120211110112200002
4130032132211100002120220
5112232403123310413000
61120005120505002132
735101556120221352
oct3416364520023050
9537480524415602
10124140212201000
1136611628505746
1211b0b255a83348
1354364aaa53cc8
1422925bdc780d2
15e54289c9b8d5
hex70e7a5402628

124140212201000 has 128 divisors (see below), whose sum is σ = 305790150931200. Its totient is φ = 47040574867200.

The previous prime is 124140212200967. The next prime is 124140212201009. The reversal of 124140212201000 is 102212041421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (124140212201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483364622 + ... + 483621378.

It is an arithmetic number, because the mean of its divisors is an integer number (2388985554150).

Almost surely, 2124140212201000 is an apocalyptic number.

124140212201000 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 124140212201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152895075465600).

124140212201000 is an abundant number, since it is smaller than the sum of its proper divisors (181649938730200).

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

124140212201000 is a wasteful number, since it uses less digits than its factorization.

124140212201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282244 (or 282230 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 124140212201000 its reverse (102212041421), we get a palindrome (124242424242421).

The spelling of 124140212201000 in words is "one hundred twenty-four trillion, one hundred forty billion, two hundred twelve million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 25447 50894 101788 127235 203576 254470 256757 483493 508940 513514 636175 966986 1017880 1027028 1272350 1283785 1933972 2054056 2417465 2544700 2567570 3180875 3867944 4834930 4878383 5089400 5135140 6361750 6418925 9669860 9756766 10270280 12087325 12723500 12837850 19339720 19513532 24174650 24391915 25447000 25675700 32094625 39027064 48349300 48783830 51351400 60436625 64189250 96698600 97567660 120873250 121959575 128378500 195135320 241746500 243919150 256757000 483493000 487838300 609797875 975676600 1219595750 2439191500 4878383000 6533695379 13067390758 26134781516 32668476895 52269563032 65336953790 124140212201 130673907580 163342384475 248280424402 261347815160 326684768950 496560848804 620701061005 653369537900 816711922375 993121697608 1241402122010 1306739075800 1633423844750 2482804244020 3103505305025 3266847689500 4965608488040 6207010610050 6533695379000 12414021220100 15517526525125 24828042440200 31035053050250 62070106100500 124140212201000