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12211102200 = 23352112168197
BaseRepresentation
bin10110101111101011…
…01010000111111000
31011112000100021010110
423113311222013320
5200002020232300
65335410144320
7611413441023
oct132765520770
934460307113
1012211102200
1151a6937900
1224495820a0
1311c7b0827b
1483ba901ba
154b706e550
hex2d7d6a1f8

12211102200 has 144 divisors (see below), whose sum is σ = 41608821240. Its totient is φ = 2960249600.

The previous prime is 12211102199. The next prime is 12211102217. The reversal of 12211102200 is 220111221.

It is a super-2 number, since 2×122111022002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 11499 + ... + 156698.

Almost surely, 212211102200 is an apocalyptic number.

12211102200 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 12211102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20804410620).

12211102200 is an abundant number, since it is smaller than the sum of its proper divisors (29397719040).

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

12211102200 is a wasteful number, since it uses less digits than its factorization.

12211102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168238 (or 168218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12211102200 its reverse (220111221), we get a palindrome (12431213421).

It can be divided in two parts, 12211 and 102200, that added together give a palindrome (114411).

The spelling of 12211102200 in words is "twelve billion, two hundred eleven million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 72600 168197 336394 504591 672788 840985 1009182 1345576 1681970 1850167 2018364 2522955 3363940 3700334 4036728 4204925 5045910 5550501 6727880 7400668 8409850 9250835 10091820 11101002 12614775 14801336 16819700 18501670 20183640 20351837 22202004 25229550 27752505 33639400 37003340 40703674 44404008 46254175 50459100 55505010 61055511 74006680 81407348 92508350 100918200 101759185 111010020 122111022 138762525 162814696 185016700 203518370 222020040 244222044 277525050 305277555 370033400 407036740 488444088 508795925 555050100 610555110 814073480 1017591850 1110100200 1221110220 1526387775 2035183700 2442220440 3052775550 4070367400 6105551100 12211102200