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12002222002120 = 2357138131039159
BaseRepresentation
bin1010111010100111110000…
…1011011100111111001000
31120111101211111011111200021
42232221330023130333020
53033121022313031440
641305424503150224
72346063151506550
oct256517413347710
946441744144607
1012002222002120
113908128471999
12141a13ba45374
13690a5cb55a3c
142d6ca6b46160
1515c31303684a
hexaea7c2dcfc8

12002222002120 has 64 divisors (see below), whose sum is σ = 30885205766400. Its totient is φ = 4112067651840.

The previous prime is 12002222002097. The next prime is 12002222002187. The reversal of 12002222002120 is 2120022220021.

It is a junction number, because it is equal to n+sod(n) for n = 12002222002094 and 12002222002103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15132900 + ... + 15906259.

It is an arithmetic number, because the mean of its divisors is an integer number (482581340100).

Almost surely, 212002222002120 is an apocalyptic number.

12002222002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002222002120 is an abundant number, since it is smaller than the sum of its proper divisors (18882983764280).

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

12002222002120 is a wasteful number, since it uses less digits than its factorization.

12002222002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31040558 (or 31040554 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12002222002120 its reverse (2120022220021), we get a palindrome (14122244222141).

The spelling of 12002222002120 in words is "twelve trillion, two billion, two hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1381 2762 5524 6905 9667 11048 13810 19334 27620 38668 48335 55240 77336 96670 193340 386680 31039159 62078318 124156636 155195795 217274113 248313272 310391590 434548226 620783180 869096452 1086370565 1241566360 1738192904 2172741130 4345482260 8690964520 42865078579 85730157158 171460314316 214325392895 300055550053 342920628632 428650785790 600111100106 857301571580 1200222200212 1500277750265 1714603143160 2400444400424 3000555500530 6001111001060 12002222002120