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12013332210120 = 2335432638852339
BaseRepresentation
bin1010111011010001001001…
…1001100010000111001000
31120112110111202222112212110
42232310102121202013020
53033311301021210440
641314503145342320
72346635366641533
oct256642231420710
946473452875773
1012013332210120
11391190993367a
1214203207979a0
13691b10859307
142d763c503a1a
1515c7635e5080
hexaed126621c8

12013332210120 has 128 divisors (see below), whose sum is σ = 37018361318400. Its totient is φ = 3117156075264.

The previous prime is 12013332210073. The next prime is 12013332210151. The reversal of 12013332210120 is 2101223331021.

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 31 ways as a sum of consecutive naturals, for example, 3069090 + ... + 5783249.

It is an arithmetic number, because the mean of its divisors is an integer number (289205947800).

Almost surely, 212013332210120 is an apocalyptic number.

12013332210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013332210120 is an abundant number, since it is smaller than the sum of its proper divisors (25005029108280).

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

12013332210120 is a wasteful number, since it uses less digits than its factorization.

12013332210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852659 (or 8852655 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12013332210120 its reverse (2101223331021), we get a palindrome (14114555541141).

The spelling of 12013332210120 in words is "twelve trillion, thirteen billion, three hundred thirty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 263 344 430 516 526 645 789 860 1032 1052 1290 1315 1578 1720 2104 2580 2630 3156 3945 5160 5260 6312 7890 10520 11309 15780 22618 31560 33927 45236 56545 67854 90472 113090 135708 169635 226180 271416 339270 452360 678540 1357080 8852339 17704678 26557017 35409356 44261695 53114034 70818712 88523390 106228068 132785085 177046780 212456136 265570170 354093560 380650577 531140340 761301154 1062280680 1141951731 1522602308 1903252885 2283903462 2328165157 3045204616 3806505770 4567806924 4656330314 5709758655 6984495471 7613011540 9135613848 9312660628 11419517310 11640825785 13968990942 15226023080 18625321256 22839034620 23281651570 27937981884 34922477355 45678069240 46563303140 55875963768 69844954710 93126606280 100111101751 139689909420 200222203502 279379818840 300333305253 400444407004 500555508755 600666610506 800888814008 1001111017510 1201333221012 1501666526265 2002222035020 2402666442024 3003333052530 4004444070040 6006666105060 12013332210120