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12122102196 = 2233294782349
BaseRepresentation
bin10110100101000100…
…01001100110110100
31011021210212121002000
423102202021212310
5144311224232241
65322510415300
7606253111551
oct132242114664
934253777060
1012122102196
115160679886
122423801530
1311b2546549
1482dd23a28
154ae33deb6
hex2d28899b4

12122102196 has 96 divisors (see below), whose sum is σ = 33203520000. Its totient is φ = 3818312064.

The previous prime is 12122102147. The next prime is 12122102197. The reversal of 12122102196 is 69120122121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122102197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106030 + ... + 188378.

It is an arithmetic number, because the mean of its divisors is an integer number (345870000).

Almost surely, 212122102196 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 12122102196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760000).

12122102196 is an abundant number, since it is smaller than the sum of its proper divisors (21081417804).

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

12122102196 is a wasteful number, since it uses less digits than its factorization.

12122102196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82438 (or 82430 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12122102196 in words is "twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 47 54 58 87 94 108 116 141 174 188 261 282 348 423 522 564 783 846 1044 1269 1363 1566 1692 2538 2726 3132 4089 5076 5452 8178 12267 16356 24534 36801 49068 73602 82349 147204 164698 247047 329396 494094 741141 988188 1482282 2223423 2388121 2964564 3870403 4446846 4776242 7164363 7740806 8893692 9552484 11611209 14328726 15481612 21493089 23222418 28657452 34833627 42986178 46444836 64479267 69667254 85972356 104500881 112241687 128958534 139334508 209001762 224483374 257917068 336725061 418003524 448966748 673450122 1010175183 1346900244 2020350366 3030525549 4040700732 6061051098 12122102196