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12002111300 = 2252343334961
BaseRepresentation
bin10110010110110000…
…11010111101000100
31010222110002102111202
423023120122331010
5144040020030200
65302542522032
7603265156064
oct131330327504
933873072452
1012002111300
1150a9973953
1223ab596318
13119372380a
1481c00b3a4
154a3a3b1d5
hex2cb61af44

12002111300 has 36 divisors (see below), whose sum is σ = 26052913236. Its totient is φ = 4799308800.

The previous prime is 12002111269. The next prime is 12002111309. The reversal of 12002111300 is 311120021.

12002111300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 900960256 + 11101151044 = 30016^2 + 105362^2 .

It is not an unprimeable number, because it can be changed into a prime (12002111309) 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 11 ways as a sum of consecutive naturals, for example, 325820 + ... + 360780.

Almost surely, 212002111300 is an apocalyptic number.

12002111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002111300 is an abundant number, since it is smaller than the sum of its proper divisors (14050801936).

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

12002111300 is a wasteful number, since it uses less digits than its factorization.

12002111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38408 (or 38401 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12002111300 its reverse (311120021), we get a palindrome (12313231321).

The spelling of 12002111300 in words is "twelve billion, two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3433 6866 13732 17165 34330 34961 68660 69922 85825 139844 171650 174805 343300 349610 699220 874025 1748050 3496100 120021113 240042226 480084452 600105565 1200211130 2400422260 3000527825 6001055650 12002111300