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12200112111220 = 225112101431115811
BaseRepresentation
bin1011000110001000111101…
…0110010011111001110100
31121012022121210022121222021
42301202033112103321310
53044341312200024340
641540353143042524
72366300102623255
oct261421726237164
947168553277867
1012200112111220
113984047259900
121450568a40444
136a6609003057
143026ba924b2c
1516254613ce4a
hexb188f593e74

12200112111220 has 144 divisors (see below), whose sum is σ = 28506139861248. Its totient is φ = 4382250400000.

The previous prime is 12200112111211. The next prime is 12200112111221. The reversal of 12200112111220 is 2211121100221.

It is a junction number, because it is equal to n+sod(n) for n = 12200112111194 and 12200112111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200112111221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105287115 + ... + 105402925.

It is an arithmetic number, because the mean of its divisors is an integer number (197959304592).

Almost surely, 212200112111220 is an apocalyptic number.

12200112111220 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 12200112111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253069930624).

12200112111220 is an abundant number, since it is smaller than the sum of its proper divisors (16306027750028).

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

12200112111220 is a wasteful number, since it uses less digits than its factorization.

12200112111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116374 (or 116361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12200112111220 its reverse (2211121100221), we get a palindrome (14411233211441).

It can be divided in two parts, 122001 and 12111220, that added together give a palindrome (12233221).

The spelling of 12200112111220 in words is "twelve trillion, two hundred billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 431 484 505 605 862 1010 1111 1210 1724 2020 2155 2222 2420 4310 4444 4741 5555 8620 9482 11110 12221 18964 22220 23705 24442 43531 47410 48884 52151 61105 87062 94820 104302 115811 122210 174124 208604 217655 231622 244420 260755 435310 463244 478841 521510 579055 870620 957682 1043020 1158110 1273921 1915364 2316220 2394205 2547842 4788410 5095684 5267251 6369605 9576820 10534502 11696911 12739210 14013131 21069004 23393822 25478420 26336255 28026262 46787644 49914541 52672510 56052524 58484555 70065655 99829082 105345020 116969110 128666021 140131310 199658164 233938220 249572705 257332042 280262620 499145410 514664084 549059951 643330105 998290820 1098119902 1286660210 1415326231 2196239804 2573320420 2745299755 2830652462 5041368641 5490599510 5661304924 6039659461 7076631155 10082737282 10981199020 12079318922 14153262310 20165474564 24158637844 25206843205 28306524620 30198297305 50413686410 55455055051 60396594610 100827372820 110910110102 120793189220 221820220204 277275275255 554550550510 610005605561 1109101101020 1220011211122 2440022422244 3050028027805 6100056055610 12200112111220