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1200110220 = 2232543473299
BaseRepresentation
bin100011110001000…
…0011101010001100
310002122012220201200
41013202003222030
54424212011340
6315030305500
741511524421
oct10742035214
93078186650
101200110220
11566481631
12295ab8290
131618326ba
14b555bd48
157055d330
hex47883a8c

1200110220 has 144 divisors (see below), whose sum is σ = 3805401600. Its totient is φ = 305843328.

The previous prime is 1200110213. The next prime is 1200110227. The reversal of 1200110220 is 220110021.

It is an interprime number because it is at equal distance from previous prime (1200110213) and next prime (1200110227).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1200110227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362131 + ... + 365429.

It is an arithmetic number, because the mean of its divisors is an integer number (26426400).

Almost surely, 21200110220 is an apocalyptic number.

1200110220 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 1200110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902700800).

1200110220 is an abundant number, since it is smaller than the sum of its proper divisors (2605291380).

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

1200110220 is a wasteful number, since it uses less digits than its factorization.

1200110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1200110220 is about 34642.6070035152. The cubic root of 1200110220 is about 1062.6911032497.

Adding to 1200110220 its reverse (220110021), we get a palindrome (1420220241).

The spelling of 1200110220 in words is "one billion, two hundred million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 47 60 86 90 94 129 141 172 180 188 215 235 258 282 387 423 430 470 516 564 645 705 774 846 860 940 1290 1410 1548 1692 1935 2021 2115 2580 2820 3299 3870 4042 4230 6063 6598 7740 8084 8460 9897 10105 12126 13196 16495 18189 19794 20210 24252 29691 30315 32990 36378 39588 40420 49485 59382 60630 65980 72756 90945 98970 118764 121260 141857 148455 155053 181890 197940 283714 296910 310106 363780 425571 465159 567428 593820 620212 709285 775265 851142 930318 1276713 1395477 1418570 1550530 1702284 1860636 2127855 2325795 2553426 2790954 2837140 3101060 4255710 4651590 5106852 5581908 6383565 6667279 6977385 8511420 9303180 12767130 13334558 13954770 20001837 25534260 26669116 27909540 33336395 40003674 60005511 66672790 80007348 100009185 120011022 133345580 200018370 240022044 300027555 400036740 600055110 1200110220