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121232200212 = 223241532276827
BaseRepresentation
bin111000011101000000…
…0001001001000010100
3102120220212202212102100
41300322000021020110
53441240420401322
6131405430442100
711521150461564
oct1607200111024
9376825685370
10121232200212
1147461464402
121b5b4503330
13b580574116
145c20c58da4
153248251dac
hex1c3a009214

121232200212 has 144 divisors (see below), whose sum is σ = 321301536192. Its totient is φ = 38505192960.

The previous prime is 121232200189. The next prime is 121232200231. The reversal of 121232200212 is 212002232121.

121232200212 is a `hidden beast` number, since 1 + 21 + 232 + 200 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17754343 + ... + 17761169.

It is an arithmetic number, because the mean of its divisors is an integer number (2231260668).

Almost surely, 2121232200212 is an apocalyptic number.

121232200212 is a gapful number since it is divisible by the number (12) 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 121232200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160650768096).

121232200212 is an abundant number, since it is smaller than the sum of its proper divisors (200069335980).

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

121232200212 is a wasteful number, since it uses less digits than its factorization.

121232200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121232200212 its reverse (212002232121), we get a palindrome (333234432333).

The spelling of 121232200212 in words is "one hundred twenty-one billion, two hundred thirty-two million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 53 82 106 123 159 164 212 227 246 318 369 454 477 492 636 681 738 908 954 1362 1476 1908 2043 2173 2724 4086 4346 6519 6827 8172 8692 9307 12031 13038 13654 18614 19557 20481 24062 26076 27308 27921 36093 37228 39114 40962 48124 55842 61443 72186 78228 81924 83763 108279 111684 122886 144372 167526 216558 245772 279907 335052 361831 433116 493271 559814 723662 839721 986542 1085493 1119628 1447324 1479813 1549729 1679442 1973084 2170986 2519163 2959626 3099458 3256479 3358884 4341972 4439439 4649187 5038326 5919252 6198916 6512958 8878878 9298374 10076652 13025916 13947561 14835071 17757756 18596748 27895122 29670142 44505213 55790244 59340284 63538889 82135637 89010426 127077778 133515639 164271274 178020852 190616667 246406911 254155556 267031278 328542548 381233334 492813822 534062556 571850001 739220733 762466668 985627644 1143700002 1478441466 2287400004 2956882932 3367561117 6735122234 10102683351 13470244468 20205366702 30308050053 40410733404 60616100106 121232200212