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12200011001200 = 2452112252066343
BaseRepresentation
bin1011000110001000100101…
…0100100110110101110000
31121012022100202001201002201
42301202021110212311300
53044341110304014300
641540335131552544
72366264434326001
oct261421124466560
947168322051081
1012200011001200
113983aa517a400
12145053abbb754
136a65c1091239
143026ab3251a8
1516253c31966a
hexb1889526d70

12200011001200 has 90 divisors (see below), whose sum is σ = 32217355625672. Its totient is φ = 4436367619200.

The previous prime is 12200011001153. The next prime is 12200011001209. The reversal of 12200011001200 is 210011000221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200011001209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125984772 + ... + 126081571.

Almost surely, 212200011001200 is an apocalyptic number.

12200011001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200011001200 is an abundant number, since it is smaller than the sum of its proper divisors (20017344624472).

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

12200011001200 is a wasteful number, since it uses less digits than its factorization.

12200011001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252066383 (or 252066361 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12200011001200 its reverse (210011000221), we get a palindrome (12410022001421).

The spelling of 12200011001200 in words is "twelve trillion, two hundred billion, eleven million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 252066343 504132686 1008265372 1260331715 2016530744 2520663430 2772729773 4033061488 5041326860 5545459546 6301658575 10082653720 11090919092 12603317150 13863648865 20165307440 22181838184 25206634300 27727297730 30500027503 44363676368 50413268600 55454595460 61000055006 69318244325 100826537200 110909190920 122000110012 138636488650 152500137515 221818381840 244000220024 277272977300 305000275030 488000440048 554545954600 610000550060 762500687575 1109091909200 1220001100120 1525001375150 2440002200240 3050002750300 6100005500600 12200011001200