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12122210210200 = 2352673832361991
BaseRepresentation
bin1011000001100110110000…
…0010001001000110011000
31120220212112200011000200221
42300121230002021012120
53042102241303211300
641440511055005424
72360541445450306
oct260315402110630
946825480130627
1012122210210200
113954000702622
121439447809874
1369c172771a2c
142dca0a69d276
151604d6e5d31a
hexb066c089198

12122210210200 has 96 divisors (see below), whose sum is σ = 28679495823360. Its totient is φ = 4764039350400.

The previous prime is 12122210210189. The next prime is 12122210210219. The reversal of 12122210210200 is 201201222121.

It is a happy number.

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, 3951205 + ... + 6313195.

It is an arithmetic number, because the mean of its divisors is an integer number (298744748160).

Almost surely, 212122210210200 is an apocalyptic number.

12122210210200 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 12122210210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339747911680).

12122210210200 is an abundant number, since it is smaller than the sum of its proper divisors (16557285613160).

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

12122210210200 is a wasteful number, since it uses less digits than its factorization.

12122210210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362457 (or 2362448 counting only the distinct ones).

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

Adding to 12122210210200 its reverse (201201222121), we get a palindrome (12323411432321).

The spelling of 12122210210200 in words is "twelve trillion, one hundred twenty-two billion, two hundred ten million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 383 536 670 766 1340 1532 1675 1915 2680 3064 3350 3830 6700 7660 9575 13400 15320 19150 25661 38300 51322 76600 102644 128305 205288 256610 513220 641525 1026440 1283050 2361991 2566100 4723982 5132200 9447964 11809955 18895928 23619910 47239820 59049775 94479640 118099550 158253397 236199100 316506794 472398200 633013588 791266985 904642553 1266027176 1582533970 1809285106 3165067940 3618570212 3956334925 4523212765 6330135880 7237140424 7912669850 9046425530 15825339700 18092851060 22616063825 31650679400 36185702120 45232127650 60611051051 90464255300 121222102102 180928510600 242444204204 303055255255 484888408408 606110510510 1212221021020 1515276276275 2424442042040 3030552552550 6061105105100 12122210210200