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210112123212 = 223229418359141
BaseRepresentation
bin1100001110101110101…
…0001001000101001100
3202002100002000202202100
43003223222021011030
511420302200420322
6240305115555100
721115526402535
oct3035352110514
9662302022670
10210112123212
11811208a8022
123487a15ba90
1316a76306234
14a2530ad68c
1556eb0cddac
hex30eba8914c

210112123212 has 144 divisors (see below), whose sum is σ = 569622624480. Its totient is φ = 65177011200.

The previous prime is 210112123201. The next prime is 210112123223. The reversal of 210112123212 is 212321211012.

It is an interprime number because it is at equal distance from previous prime (210112123201) and next prime (210112123223).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3523162 + ... + 3582302.

It is an arithmetic number, because the mean of its divisors is an integer number (3955712670).

Almost surely, 2210112123212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210112123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284811312240).

210112123212 is an abundant number, since it is smaller than the sum of its proper divisors (359510501268).

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

210112123212 is a wasteful number, since it uses less digits than its factorization.

210112123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59304 (or 59299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 210112123212 its reverse (212321211012), we get a palindrome (422433334224).

The spelling of 210112123212 in words is "two hundred ten billion, one hundred twelve million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 82 83 87 116 123 164 166 174 246 249 261 332 348 369 492 498 522 738 747 996 1044 1189 1476 1494 2378 2407 2988 3403 3567 4756 4814 6806 7134 7221 9628 10209 10701 13612 14268 14442 20418 21402 21663 28884 30627 40836 42804 43326 59141 61254 86652 98687 118282 122508 177423 197374 236564 296061 354846 394748 532269 592122 709692 888183 1064538 1184244 1715089 1776366 2129076 2424781 3430178 3552732 4849562 4908703 5145267 6860356 7274343 9699124 9817406 10290534 14548686 14726109 15435801 19634812 20581068 21823029 29097372 29452218 30871602 43646058 44178327 58904436 61743204 70318649 87292116 88356654 140637298 142352387 176713308 201256823 210955947 281274596 284704774 402513646 421911894 427057161 569409548 603770469 632867841 805027292 843823788 854114322 1207540938 1265735682 1281171483 1708228644 1811311407 2415081876 2531471364 2562342966 3622622814 5124685932 5836447867 7245245628 11672895734 17509343601 23345791468 35018687202 52528030803 70037374404 105056061606 210112123212