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120142212002424 = 233223130095576881
BaseRepresentation
bin11011010100010011001001…
…110111100111001001111000
3120202101111001022202021120100
4123110103021313213021320
5111221402222233034144
61103304323101355400
734206663004232133
oct3324231167471170
9522344038667510
10120142212002424
1135310031635527
1211584447868b60
135206492363431
142194cb238121a
15dd5294665269
hex6d44c9de7278

120142212002424 has 96 divisors (see below), whose sum is σ = 339558498957600. Its totient is φ = 38303261061120.

The previous prime is 120142212002399. The next prime is 120142212002437. The reversal of 120142212002424 is 424200212241021.

120142212002424 is a `hidden beast` number, since 1 + 2 + 0 + 14 + 2 + 21 + 200 + 2 + 424 = 666.

It is a super-2 number, since 2×1201422120024242 (a number of 29 digits) contains 22 as substring.

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, 18754464 + ... + 24331344.

It is an arithmetic number, because the mean of its divisors is an integer number (3537067697475).

Almost surely, 2120142212002424 is an apocalyptic number.

It is an amenable number.

120142212002424 is an abundant number, since it is smaller than the sum of its proper divisors (219416286955176).

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

120142212002424 is a wasteful number, since it uses less digits than its factorization.

120142212002424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589925 (or 5589918 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 120142212002424 its reverse (424200212241021), we get a palindrome (544342424243445).

The spelling of 120142212002424 in words is "one hundred twenty trillion, one hundred forty-two billion, two hundred twelve million, two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 13009 26018 39027 52036 78054 104072 117081 156108 234162 299207 312216 468324 598414 897621 936648 1196828 1795242 2393656 2692863 3590484 5385726 5576881 7180968 10771452 11153762 16730643 21542904 22307524 33461286 44615048 50191929 66922572 100383858 128268263 133845144 200767716 256536526 384804789 401535432 513073052 769609578 1026146104 1154414367 1539219156 2308828734 3078438312 4617657468 9235314936 72549644929 145099289858 217648934787 290198579716 435297869574 580397159432 652946804361 870595739148 1305893608722 1668641833367 1741191478296 2611787217444 3337283666734 5005925500101 5223574434888 6674567333468 10011851000202 13349134666936 15017776500303 20023702000404 30035553000606 40047404000808 60071106001212 120142212002424