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12002111200 = 255215002639
BaseRepresentation
bin10110010110110000…
…11010111011100000
31010222110002102101001
423023120122323200
5144040020024300
65302542521344
7603265155562
oct131330327340
933873072331
1012002111200
1150a9973872
1223ab596254
131193723761
1481c00b332
154a3a3b16a
hex2cb61aee0

12002111200 has 36 divisors (see below), whose sum is σ = 29300155920. Its totient is φ = 4800844160.

The previous prime is 12002111189. The next prime is 12002111203. The reversal of 12002111200 is 211120021.

12002111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12002111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7500520 + ... + 7502119.

It is an arithmetic number, because the mean of its divisors is an integer number (813893220).

Almost surely, 212002111200 is an apocalyptic number.

12002111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002111200 is an abundant number, since it is smaller than the sum of its proper divisors (17298044720).

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

12002111200 is a wasteful number, since it uses less digits than its factorization.

12002111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15002659 (or 15002646 counting only the distinct ones).

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

Adding to 12002111200 its reverse (211120021), we get a palindrome (12213231221).

The spelling of 12002111200 in words is "twelve billion, two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15002639 30005278 60010556 75013195 120021112 150026390 240042224 300052780 375065975 480084448 600105560 750131950 1200211120 1500263900 2400422240 3000527800 6001055600 12002111200