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120002031130212 = 223271143379981733
BaseRepresentation
bin11011010010010000100110…
…011100000001011001100100
3120201220002012212201010210100
4123102100212130001121210
5111212103124432131322
61103120101055024100
734163601125412450
oct3322204634013144
9521802185633710
10120002031130212
1135266637143420
121156124550b030
1351c61b218357a
14218c1b4b0d660
15dd17dcb16dac
hex6d2426701664

120002031130212 has 144 divisors (see below), whose sum is σ = 378275457635712. Its totient is φ = 31162168765440.

The previous prime is 120002031130207. The next prime is 120002031130243. The reversal of 120002031130212 is 212031130200021.

120002031130212 is a `hidden beast` number, since 1 + 20 + 0 + 0 + 20 + 311 + 302 + 12 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7031298 + ... + 17013030.

It is an arithmetic number, because the mean of its divisors is an integer number (2626912900248).

Almost surely, 2120002031130212 is an apocalyptic number.

120002031130212 is a gapful number since it is divisible by the number (12) 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 120002031130212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189137728817856).

120002031130212 is an abundant number, since it is smaller than the sum of its proper divisors (258273426505500).

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

120002031130212 is a wasteful number, since it uses less digits than its factorization.

120002031130212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986098 (or 9986093 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120002031130212 its reverse (212031130200021), we get a palindrome (332033161330233).

The spelling of 120002031130212 in words is "one hundred twenty trillion, two billion, thirty-one million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 4337 8674 13011 17348 26022 30359 39033 47707 52044 60718 78066 91077 95414 121436 143121 156132 182154 190828 273231 286242 333949 364308 429363 546462 572484 667898 858726 1001847 1092924 1335796 1717452 2003694 3005541 4007388 6011082 9981733 12022164 19963466 29945199 39926932 59890398 69872131 89835597 109799063 119780796 139744262 179671194 209616393 219598126 279488524 329397189 359342388 419232786 439196252 628849179 658794378 768593441 838465572 988191567 1257698358 1317588756 1537186882 1976383134 2305780323 2515396716 3074373764 3952766268 4611560646 6917340969 9223121292 13834681938 27669363876 43290776021 86581552042 129872328063 173163104084 259744656126 303035432147 389616984189 476198536231 519489312252 606070864294 779233968378 909106296441 952397072462 1212141728588 1428595608693 1558467936756 1818212592882 1904794144924 2727318889323 2857191217386 3333389753617 3636425185764 4285786826079 5454637778646 5714382434772 6666779507234 8571573652158 10000169260851 10909275557292 13333559014468 17143147304316 20000338521702 30000507782553 40000677043404 60001015565106 120002031130212