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12200010200 = 2352721965521
BaseRepresentation
bin10110101110010110…
…10110000111011000
31011111020110201202122
423113023112013120
5144441200311300
65334332320412
7611220242600
oct132713260730
934436421678
1012200010200
1151a0651264
122445913108
1311c5723661
1483a403c00
154b60ccc85
hex2d72d61d8

12200010200 has 144 divisors (see below), whose sum is σ = 34733212200. Its totient is φ = 3962649600.

The previous prime is 12200010167. The next prime is 12200010217. The reversal of 12200010200 is 201000221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153440 + ... + 218960.

Almost surely, 212200010200 is an apocalyptic number.

12200010200 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 12200010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366606100).

12200010200 is an abundant number, since it is smaller than the sum of its proper divisors (22533202000).

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

12200010200 is a wasteful number, since it uses less digits than its factorization.

12200010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65570 (or 65554 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12200010200 its reverse (201000221), we get a palindrome (12401010421).

The spelling of 12200010200 in words is "twelve billion, two hundred million, ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 49 50 56 70 76 95 98 100 133 140 152 175 190 196 200 245 266 280 350 380 392 475 490 532 665 700 760 931 950 980 1064 1225 1330 1400 1862 1900 1960 2450 2660 3325 3724 3800 4655 4900 5320 6650 7448 9310 9800 13300 18620 23275 26600 37240 46550 65521 93100 131042 186200 262084 327605 458647 524168 655210 917294 1244899 1310420 1638025 1834588 2293235 2489798 2620840 3210529 3276050 3669176 4586470 4979596 6224495 6421058 6552100 8714293 9172940 9959192 11466175 12448990 12842116 13104200 16052645 17428586 18345880 22932350 24897980 25684232 31122475 32105290 34857172 43571465 45864700 49795960 61000051 62244950 64210580 69714344 80263225 87142930 91729400 122000102 124489900 128421160 160526450 174285860 217857325 244000204 248979800 305000255 321052900 348571720 435714650 488000408 610000510 642105800 871429300 1220001020 1525001275 1742858600 2440002040 3050002550 6100005100 12200010200