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212221220120 = 235713411422013
BaseRepresentation
bin1100010110100101011…
…1101101010100011000
3202021210001122222210122
43011221113231110120
511434112113020440
6241254301132412
721222016415240
oct3055127552430
9667701588718
10212221220120
1182003389818
123516855a108
131702125a880
14a3b3246b20
1557c13417b5
hex31695ed518

212221220120 has 128 divisors (see below), whose sum is σ = 602023847040. Its totient is φ = 65526312960.

The previous prime is 212221220093. The next prime is 212221220177. The reversal of 212221220120 is 21022122212.

It is a happy number.

212221220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 561767 + ... + 860246.

It is an arithmetic number, because the mean of its divisors is an integer number (4703311305).

Almost surely, 2212221220120 is an apocalyptic number.

212221220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221220120 is an abundant number, since it is smaller than the sum of its proper divisors (389802626920).

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

212221220120 is a wasteful number, since it uses less digits than its factorization.

212221220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422085 (or 1422081 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212221220120 its reverse (21022122212), we get a palindrome (233243342332).

The spelling of 212221220120 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 41 52 56 65 70 82 91 104 130 140 164 182 205 260 280 287 328 364 410 455 520 533 574 728 820 910 1066 1148 1435 1640 1820 2132 2296 2665 2870 3640 3731 4264 5330 5740 7462 10660 11480 14924 18655 21320 29848 37310 74620 149240 1422013 2844026 5688052 7110065 9954091 11376104 14220130 18486169 19908182 28440260 36972338 39816364 49770455 56880520 58302533 73944676 79632728 92430845 99540910 116605066 129403183 147889352 184861690 199081820 233210132 258806366 291512665 369723380 398163640 408117731 466420264 517612732 583025330 647015915 739446760 757932929 816235462 1035225464 1166050660 1294031830 1515865858 1632470924 2040588655 2332101320 2588063660 3031731716 3264941848 3789664645 4081177310 5176127320 5305530503 6063463432 7579329290 8162354620 10611061006 15158658580 16324709240 21222122012 26527652515 30317317160 42444244024 53055305030 106110610060 212221220120