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212112122231220 = 223517474424533213
BaseRepresentation
bin110000001110101000110011…
…101100101011100110110100
31000211000201110111110122200020
4300032220303230223212310
5210300221111242344340
62031042544100045140
762451411060505521
oct6016506354534664
91024021414418606
10212112122231220
116164927827aa62
121b9589006937b0
139148119a4b383
143a543d25bc148
15197c7ca5619d0
hexc0ea33b2b9b4

212112122231220 has 96 divisors (see below), whose sum is σ = 642229845078528. Its totient is φ = 52103303104512.

The previous prime is 212112122231189. The next prime is 212112122231239. The reversal of 212112122231220 is 22132221211212.

212112122231220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121121222312202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 2212218667 + ... + 2212314546.

It is an arithmetic number, because the mean of its divisors is an integer number (6689894219568).

Almost surely, 2212112122231220 is an apocalyptic number.

212112122231220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112122231220 is an abundant number, since it is smaller than the sum of its proper divisors (430117722847308).

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

212112122231220 is a wasteful number, since it uses less digits than its factorization.

212112122231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424533289 (or 4424533287 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 212112122231220 its reverse (22132221211212), we get a palindrome (234244343442432).

The spelling of 212112122231220 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 2397 2820 3196 3995 4794 7990 9588 11985 15980 23970 47940 4424533213 8849066426 13273599639 17698132852 22122666065 26547199278 44245332130 53094398556 66367998195 75217064621 88490664260 132735996390 150434129242 207953061011 225651193863 265471992780 300868258484 376085323105 415906122022 451302387726 623859183033 752170646210 831812244044 902604775452 1039765305055 1128255969315 1247718366066 1504341292420 2079530610110 2256511938630 2495436732132 3119295915165 3535202037187 4159061220220 4513023877260 6238591830330 7070404074374 10605606111561 12477183660660 14140808148748 17676010185935 21211212223122 35352020371870 42422424446244 53028030557805 70704040743740 106056061115610 212112122231220