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212200422120 = 233251549380533
BaseRepresentation
bin1100010110100000100…
…0010111101011101000
3202021201121112100022100
43011220020113223220
511434041302001440
6241252235253400
721221344553541
oct3055010275350
9667647470270
10212200422120
1181aa2673995
12351615aa260
1317019b5816b
14a3b05914c8
1557be5d4230
hex3168217ae8

212200422120 has 96 divisors (see below), whose sum is σ = 690098409000. Its totient is φ = 56550099456.

The previous prime is 212200422113. The next prime is 212200422121. The reversal of 212200422120 is 21224002212.

212200422120 is a `hidden beast` number, since 2 + 1 + 220 + 0 + 422 + 1 + 20 = 666.

212200422120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 145788039684 + 66412382436 = 381822^2 + 257706^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 212200422093 and 212200422102.

It is not an unprimeable number, because it can be changed into a prime (212200422121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367374 + ... + 747906.

Almost surely, 2212200422120 is an apocalyptic number.

212200422120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200422120 is an abundant number, since it is smaller than the sum of its proper divisors (477897986880).

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

212200422120 is a wasteful number, since it uses less digits than its factorization.

212200422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382099 (or 382092 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212200422120 its reverse (21224002212), we get a palindrome (233424424332).

The spelling of 212200422120 in words is "two hundred twelve billion, two hundred million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1549 3098 4647 6196 7745 9294 12392 13941 15490 18588 23235 27882 30980 37176 46470 55764 61960 69705 92940 111528 139410 185880 278820 380533 557640 761066 1141599 1522132 1902665 2283198 3044264 3424797 3805330 4566396 5707995 6849594 7610660 9132792 11415990 13699188 15221320 17123985 22831980 27398376 34247970 45663960 68495940 136991880 589445617 1178891234 1768336851 2357782468 2947228085 3536673702 4715564936 5305010553 5894456170 7073347404 8841684255 10610021106 11788912340 14146694808 17683368510 21220042212 23577824680 26525052765 35366737020 42440084424 53050105530 70733474040 106100211060 212200422120