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12002012200 = 2352127746993
BaseRepresentation
bin10110010110110000…
…00010110000101000
31010222102220101120101
423023120002300220
5144040003342300
65302540435144
7603264264133
oct131330026050
933872811511
1012002012200
1150a9906452
1223ab548ab4
1311936ba689
1481bdc321a
154a3a1bb6a
hex2cb602c28

12002012200 has 48 divisors (see below), whose sum is σ = 27927124380. Its totient is φ = 4796943360.

The previous prime is 12002012177. The next prime is 12002012201. The reversal of 12002012200 is 221020021.

It can be written as a sum of positive squares in 6 ways, for example, as 2102956164 + 9899056036 = 45858^2 + 99494^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12002012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231904 + ... + 278896.

Almost surely, 212002012200 is an apocalyptic number.

12002012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002012200 is an abundant number, since it is smaller than the sum of its proper divisors (15925112180).

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

12002012200 is a wasteful number, since it uses less digits than its factorization.

12002012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48286 (or 48277 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002012200 its reverse (221020021), we get a palindrome (12223032221).

The spelling of 12002012200 in words is "twelve billion, two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1277 2554 5108 6385 10216 12770 25540 31925 46993 51080 63850 93986 127700 187972 234965 255400 375944 469930 939860 1174825 1879720 2349650 4699300 9398600 60010061 120020122 240040244 300050305 480080488 600100610 1200201220 1500251525 2400402440 3000503050 6001006100 12002012200