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12011321213200 = 245230028303033
BaseRepresentation
bin1010111011001001101010…
…0010001100000100010000
31120112021022121221022201001
42232302122202030010100
53033243141212310300
641313531430551344
72346534510516001
oct256623242140420
946467277838631
1012011321213200
113910a77765951
12141ba5b208554
136918800316ca
142d74cb3c51a8
1515c696cae16a
hexaec9a88c110

12011321213200 has 30 divisors (see below), whose sum is σ = 28857199215674. Its totient is φ = 4804528485120.

The previous prime is 12011321213197. The next prime is 12011321213201. The reversal of 12011321213200 is 231212311021.

It can be written as a sum of positive squares in 3 ways, for example, as 2761353239824 + 9249967973376 = 1661732^2 + 3041376^2 .

It is not an unprimeable number, because it can be changed into a prime (12011321213201) 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, 15014151117 + ... + 15014151916.

Almost surely, 212011321213200 is an apocalyptic number.

12011321213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011321213200 is an abundant number, since it is smaller than the sum of its proper divisors (16845878002474).

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

12011321213200 is a wasteful number, since it uses less digits than its factorization.

12011321213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30028303051 (or 30028303040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12011321213200 its reverse (231212311021), we get a palindrome (12242533524221).

The spelling of 12011321213200 in words is "twelve trillion, eleven billion, three hundred twenty-one million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30028303033 60056606066 120113212132 150141515165 240226424264 300283030330 480452848528 600566060660 750707575825 1201132121320 1501415151650 2402264242640 3002830303300 6005660606600 12011321213200