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12240210200 = 23521011374423
BaseRepresentation
bin10110110011001001…
…01100100100011000
31011121001010002210112
423121210230210120
5200031443211300
65342330103452
7612216033011
oct133144544430
934531102715
1012240210200
1152113090a9
12245727ab88
131200b5a23a
148418aa008
154b98bde35
hex2d992c918

12240210200 has 96 divisors (see below), whose sum is σ = 28956584160. Its totient is φ = 4811136000.

The previous prime is 12240210161. The next prime is 12240210211. The reversal of 12240210200 is 201204221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2765189 + ... + 2769611.

It is an arithmetic number, because the mean of its divisors is an integer number (301631085).

Almost surely, 212240210200 is an apocalyptic number.

12240210200 is a gapful number since it is divisible by the number (10) 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 12240210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478292080).

12240210200 is an abundant number, since it is smaller than the sum of its proper divisors (16716373960).

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

12240210200 is a wasteful number, since it uses less digits than its factorization.

12240210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12240210200 its reverse (201204221), we get a palindrome (12441414421).

The spelling of 12240210200 in words is "twelve billion, two hundred forty million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 137 200 202 274 404 505 548 685 808 1010 1096 1370 2020 2525 2740 3425 4040 4423 5050 5480 6850 8846 10100 13700 13837 17692 20200 22115 27400 27674 35384 44230 55348 69185 88460 110575 110696 138370 176920 221150 276740 345925 442300 446723 553480 605951 691850 884600 893446 1211902 1383700 1786892 2233615 2423804 2767400 3029755 3573784 4467230 4847608 6059510 8934460 11168075 12119020 15148775 17868920 22336150 24238040 30297550 44672300 60595100 61201051 89344600 121190200 122402102 244804204 306005255 489608408 612010510 1224021020 1530026275 2448042040 3060052550 6120105100 12240210200