Search a number
-
+
12007170200 = 2352222127031
BaseRepresentation
bin10110010111010111…
…01110000010011000
31010222210121110000102
423023223232002120
5144042313421300
65303243154532
7603356156054
oct131353560230
933883543012
1012007170200
115101809763
1223b1215a48
1311947a534c
1481c966c64
154a41da0d5
hex2cbaee098

12007170200 has 48 divisors (see below), whose sum is σ = 27930273360. Its totient is φ = 4800528000.

The previous prime is 12007170199. The next prime is 12007170239. The reversal of 12007170200 is 207170021.

12007170200 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 (20).

It is a congruent number.

It is an unprimeable number.

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, 430685 + ... + 457715.

It is an arithmetic number, because the mean of its divisors is an integer number (581880695).

Almost surely, 212007170200 is an apocalyptic number.

12007170200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12007170200 is an abundant number, since it is smaller than the sum of its proper divisors (15923103160).

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

12007170200 is a wasteful number, since it uses less digits than its factorization.

12007170200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29268 (or 29259 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The spelling of 12007170200 in words is "twelve billion, seven million, one hundred seventy thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2221 4442 8884 11105 17768 22210 27031 44420 54062 55525 88840 108124 111050 135155 216248 222100 270310 444200 540620 675775 1081240 1351550 2703100 5406200 60035851 120071702 240143404 300179255 480286808 600358510 1200717020 1500896275 2401434040 3001792550 6003585100 12007170200