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12201101200 = 245230502753
BaseRepresentation
bin10110101110011111…
…00000011110010000
31011111022112011100001
423113033200132100
5144441440214300
65334411535344
7611232435421
oct132717403620
934438464301
1012201101200
1151a1226a12
12244615a554
1311c5a16112
1483a609648
154b624616a
hex2d73e0790

12201101200 has 30 divisors (see below), whose sum is σ = 29313146594. Its totient is φ = 4880440320.

The previous prime is 12201101191. The next prime is 12201101207. The reversal of 12201101200 is 210110221.

12201101200 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 3 ways, for example, as 2828537856 + 9372563344 = 53184^2 + 96812^2 .

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 (12201101207) 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, 15250977 + ... + 15251776.

Almost surely, 212201101200 is an apocalyptic number.

12201101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201101200 is an abundant number, since it is smaller than the sum of its proper divisors (17112045394).

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

12201101200 is a wasteful number, since it uses less digits than its factorization.

12201101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30502771 (or 30502760 counting only the distinct ones).

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

Adding to 12201101200 its reverse (210110221), we get a palindrome (12411211421).

The spelling of 12201101200 in words is "twelve billion, two hundred one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30502753 61005506 122011012 152513765 244022024 305027530 488044048 610055060 762568825 1220110120 1525137650 2440220240 3050275300 6100550600 12201101200