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212000124112 = 247172393731249
BaseRepresentation
bin1100010101110000110…
…0010010110011010000
3202021012122122011002121
43011130030102303100
511433134012432422
6241220322224024
721213363215410
oct3053414226320
9667178564077
10212000124112
11819aa5a8047
12351064b5014
1316cb74c832a
14a391b32640
1557abc1b8c7
hex315c312cd0

212000124112 has 160 divisors (see below), whose sum is σ = 500860800000. Its totient is φ = 84858568704.

The previous prime is 212000124001. The next prime is 212000124209. The reversal of 212000124112 is 211421000212.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 169735264 + ... + 169736512.

It is an arithmetic number, because the mean of its divisors is an integer number (3130380000).

Almost surely, 2212000124112 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 212000124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250430400000).

212000124112 is an abundant number, since it is smaller than the sum of its proper divisors (288860675888).

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

212000124112 is a wasteful number, since it uses less digits than its factorization.

212000124112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212000124112 its reverse (211421000212), we get a palindrome (423421124324).

The spelling of 212000124112 in words is "two hundred twelve billion, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 239 272 373 476 478 746 952 956 1249 1492 1673 1904 1912 2498 2611 2984 3346 3824 4063 4996 5222 5968 6341 6692 8126 8743 9992 10444 12682 13384 16252 17486 19984 20888 21233 25364 26768 28441 32504 34972 41776 42466 44387 50728 56882 65008 69944 84932 88774 89147 101456 113764 139888 148631 169864 177548 178294 227528 297262 298511 339728 355096 356588 455056 465877 594524 597022 624029 710192 713176 931754 1189048 1194044 1248058 1426352 1515499 1863508 2089577 2378096 2388088 2496116 3030998 3261139 3727016 4179154 4776176 4992232 5074687 6061996 6522278 7454032 7919909 8358308 9984464 10149374 10608493 12123992 13044556 15839818 16716616 20298748 21216986 24247984 26089112 31679636 33433232 35522809 40597496 42433972 52178224 55439363 63359272 71045618 81194992 84867944 110878726 111344603 126718544 142091236 169735888 221757452 222689206 284182472 443514904 445378412 568364944 779412221 887029808 890756824 1558824442 1781513648 1892858251 3117648884 3785716502 6235297768 7571433004 12470595536 13250007757 15142866008 26500015514 30285732016 53000031028 106000062056 212000124112