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12200111210200 = 2352177194990637
BaseRepresentation
bin1011000110001000111101…
…0010110111111011011000
31121012022121201121212000011
42301202033102313323120
53044341311432211300
641540353111451304
72366300062151344
oct261421722677330
947168551555004
1012200111210200
1139840467a3961
121450568686b34
136a6608a78bc4
143026ba76c624
15162546010eba
hexb188f4b7ed8

12200111210200 has 96 divisors (see below), whose sum is σ = 30075580843200. Its totient is φ = 4586594109440.

The previous prime is 12200111210191. The next prime is 12200111210239. The reversal of 12200111210200 is 201211100221.

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, 50719 + ... + 4939918.

It is an arithmetic number, because the mean of its divisors is an integer number (313287300450).

Almost surely, 212200111210200 is an apocalyptic number.

12200111210200 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 12200111210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037790421600).

12200111210200 is an abundant number, since it is smaller than the sum of its proper divisors (17875469633000).

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

12200111210200 is a wasteful number, since it uses less digits than its factorization.

12200111210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991389 (or 4991380 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12200111210200 its reverse (201211100221), we get a palindrome (12401322310421).

The spelling of 12200111210200 in words is "twelve trillion, two hundred billion, one hundred eleven million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 719 850 1438 1700 2876 3400 3595 5752 7190 12223 14380 17975 24446 28760 35950 48892 61115 71900 97784 122230 143800 244460 305575 488920 611150 1222300 2444600 4990637 9981274 19962548 24953185 39925096 49906370 84840829 99812740 124765925 169681658 199625480 249531850 339363316 424204145 499063700 678726632 848408290 998127400 1696816580 2121020725 3393633160 3588268003 4242041450 7176536006 8484082900 14353072012 16968165800 17941340015 28706144024 35882680030 61000556051 71765360060 89706700075 122001112102 143530720120 179413400150 244002224204 305002780255 358826800300 488004448408 610005560510 717653600600 1220011121020 1525013901275 2440022242040 3050027802550 6100055605100 12200111210200