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12011200200 = 2332526672889
BaseRepresentation
bin10110010111110110…
…00101111011001000
31011000002012012010200
423023323011323020
5144044331401300
65303505412200
7603435342246
oct131373057310
934002165120
1012011200200
11510401153a
1223b263a060
13119558676c
1481d2d5796
154a4734200
hex2cbec5ec8

12011200200 has 72 divisors (see below), whose sum is σ = 40337620050. Its totient is φ = 3202986240.

The previous prime is 12011200177. The next prime is 12011200217. The reversal of 12011200200 is 200211021.

It can be written as a sum of positive squares in 3 ways, for example, as 4441156164 + 7570044036 = 66642^2 + 87006^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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, 3334645 + ... + 3338244.

Almost surely, 212011200200 is an apocalyptic number.

12011200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011200200 is an abundant number, since it is smaller than the sum of its proper divisors (28326419850).

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

12011200200 is a wasteful number, since it uses less digits than its factorization.

12011200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672911 (or 6672899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12011200200 its reverse (200211021), we get a palindrome (12211411221).

The spelling of 12011200200 in words is "twelve billion, eleven million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6672889 13345778 20018667 26691556 33364445 40037334 53383112 60056001 66728890 80074668 100093335 120112002 133457780 160149336 166822225 200186670 240224004 266915560 300280005 333644450 400373340 480448008 500466675 600560010 667288900 800746680 1000933350 1201120020 1334577800 1501400025 2001866700 2402240040 3002800050 4003733400 6005600100 12011200200