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12348250212 = 22323231131479
BaseRepresentation
bin10111000000000001…
…10101100001100100
31011212120102002211110
423200000311201210
5200242123001322
65401145505020
7615000252324
oct134000654144
934776362743
1012348250212
1152672a1171
1224874a2170
13121a35743c
14851d91284
154c4110c0c
hex2e0035864

12348250212 has 144 divisors (see below), whose sum is σ = 31394119680. Its totient is φ = 3773140800.

The previous prime is 12348250177. The next prime is 12348250283. The reversal of 12348250212 is 21205284321.

It is a self number, because there is not a number n which added to its sum of digits gives 12348250212.

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, 25778989 + ... + 25779467.

It is an arithmetic number, because the mean of its divisors is an integer number (218014720).

Almost surely, 212348250212 is an apocalyptic number.

12348250212 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 12348250212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697059840).

12348250212 is an abundant number, since it is smaller than the sum of its proper divisors (19045869468).

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

12348250212 is a wasteful number, since it uses less digits than its factorization.

12348250212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 12348250212 in words is "twelve billion, three hundred forty-eight million, two hundred fifty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 131 138 186 262 276 372 393 479 524 529 713 786 958 1058 1426 1437 1572 1587 1916 2116 2139 2852 2874 3013 3174 4061 4278 5748 6026 6348 8122 8556 9039 11017 12052 12183 14849 16244 16399 18078 22034 24366 29698 32798 33051 36156 44068 44547 48732 49197 59396 62749 65596 66102 69299 89094 93403 98394 125498 132204 138598 178188 186806 188247 196788 207897 250996 253391 277196 280209 341527 373612 376494 415794 506782 560418 683054 752988 760173 831588 1013564 1024581 1120836 1366108 1443227 1520346 1945219 2049162 2148269 2886454 3040692 3890438 4098324 4296538 4329681 5772908 5835657 6444807 7780876 7855121 8593076 8659362 11671314 12889614 15710242 17318724 23342628 23565363 25779228 31420484 33194221 44740037 47130726 66388442 89480074 94261452 99582663 132776884 134220111 178960148 199165326 268440222 398330652 536880444 1029020851 2058041702 3087062553 4116083404 6174125106 12348250212