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120100221010220 = 2251113923916432681
BaseRepresentation
bin11011010011101100000011…
…000000101100000100101100
3120202020110122220021212012212
4123103230003000230010230
5111220210223034311340
61103233140240545552
734203645302544263
oct3323540300540454
9522213586255185
10120100221010220
11352a4243832590
12115782890222b8
13520252c96b899
142192c4b5c15da
15dd4137e99a65
hex6d3b0302c12c

120100221010220 has 96 divisors (see below), whose sum is σ = 278277610060800. Its totient is φ = 43177195353600.

The previous prime is 120100221010213. The next prime is 120100221010309. The reversal of 120100221010220 is 22010122001021.

It is a junction number, because it is equal to n+sod(n) for n = 120100221010195 and 120100221010204.

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, 907721 + ... + 15524960.

It is an arithmetic number, because the mean of its divisors is an integer number (2898725104800).

Almost surely, 2120100221010220 is an apocalyptic number.

120100221010220 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 120100221010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139138805030400).

120100221010220 is an abundant number, since it is smaller than the sum of its proper divisors (158177389050580).

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

120100221010220 is a wasteful number, since it uses less digits than its factorization.

120100221010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16433079 (or 16433077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120100221010220 its reverse (22010122001021), we get a palindrome (142110343011241).

It can be divided in two parts, 1201002 and 21010220, that added together give a palindrome (22211222).

The spelling of 120100221010220 in words is "one hundred twenty trillion, one hundred billion, two hundred twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 220 239 278 478 556 695 956 1195 1390 1529 2390 2629 2780 3058 4780 5258 6116 7645 10516 13145 15290 26290 30580 33221 52580 66442 132884 166105 332210 365431 664420 730862 1461724 1827155 3654310 7308620 16432681 32865362 65730724 82163405 164326810 180759491 328653620 361518982 723037964 903797455 1807594910 2284142659 3615189820 3927410759 4568285318 7854821518 9136570636 11420713295 15709643036 19637053795 22841426590 25125569249 39274107590 43201518349 45682853180 50251138498 78548215180 86403036698 100502276996 125627846245 172806073396 216007591745 251255692490 432015183490 502511384980 545910095501 864030366980 1091820191002 2183640382004 2729550477505 5459100955010 6005011050511 10918201910020 12010022101022 24020044202044 30025055252555 60050110505110 120100221010220