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212112221030120 = 235172916691644431
BaseRepresentation
bin110000001110101000111001…
…100101100100011011101000
31000211000201201101101011021202
4300032220321211210123220
5210300221312040430440
62031043001545423332
762451413400336125
oct6016507145443350
91024021641334252
10212112221030120
1161649319021044
121b95892979ab48
139148134361268
143a5440177974c
15197c7d407a615
hexc0ea399646e8

212112221030120 has 128 divisors (see below), whose sum is σ = 522783344678400. Its totient is φ = 77095687065600.

The previous prime is 212112221030117. The next prime is 212112221030159. The reversal of 212112221030120 is 21030122211212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212112221030092 and 212112221030101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328824305 + ... + 329468735.

It is an arithmetic number, because the mean of its divisors is an integer number (4084244880300).

Almost surely, 2212112221030120 is an apocalyptic number.

212112221030120 is a gapful number since it is divisible by the number (20) 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 212112221030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261391672339200).

212112221030120 is an abundant number, since it is smaller than the sum of its proper divisors (310671123648280).

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

212112221030120 is a wasteful number, since it uses less digits than its factorization.

212112221030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661179 (or 661175 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212112221030120 its reverse (21030122211212), we get a palindrome (233142343241332).

The spelling of 212112221030120 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-one million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 16691 19720 33382 66764 83455 133528 166910 283747 333820 484039 567494 644431 667640 968078 1134988 1288862 1418735 1936156 2269976 2420195 2577724 2837470 3222155 3872312 4840390 5155448 5674940 6444310 8228663 9680780 10955327 11349880 12888620 16457326 18688499 19361560 21910654 25777240 32914652 37376998 41143315 43821308 54776635 65829304 74753996 82286630 87642616 93442495 109553270 149507992 164573260 186884990 219106540 317704483 329146520 373769980 438213080 635408966 747539960 1270817932 1588522415 2541635864 3177044830 6354089660 10756197821 12708179320 21512395642 43024791284 53780989105 86049582568 107561978210 182855362957 215123956420 311929736809 365710725914 430247912840 623859473618 731421451828 914276814785 1247718947236 1462842903656 1559648684045 1828553629570 2495437894472 3119297368090 3657107259140 5302805525753 6238594736180 7314214518280 10605611051506 12477189472360 21211222103012 26514027628765 42422444206024 53028055257530 106056110515060 212112221030120